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2022203234000 = 24532953657841
BaseRepresentation
bin11101011011010100101…
…101001001011011010000
321011022122211011000002002
4131123110231021123100
5231112433011442000
64144553133213132
7266046036610505
oct35332455113320
97138584130062
102022203234000
1170a680009154
12287abb9311a8
13118901533661
146dc376154ac
15379073a38d5
hex1d6d4b496d0

2022203234000 has 160 divisors (see below), whose sum is σ = 5153744737440. Its totient is φ = 766252032000.

The previous prime is 2022203233979. The next prime is 2022203234011. The reversal of 2022203234000 is 4323022202.

It can be written as a sum of positive squares in 16 ways, for example, as 905740503616 + 1116462730384 = 951704^2 + 1056628^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745080 + ... + 3402920.

It is an arithmetic number, because the mean of its divisors is an integer number (32210904609).

Almost surely, 22022203234000 is an apocalyptic number.

2022203234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022203234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576872368720).

2022203234000 is an abundant number, since it is smaller than the sum of its proper divisors (3131541503440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2022203234000 is a wasteful number, since it uses less digits than its factorization.

2022203234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657946 (or 657930 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2022203234000 its reverse (4323022202), we get a palindrome (2026526256202).

The spelling of 2022203234000 in words is "two trillion, twenty-two billion, two hundred three million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 53 58 80 100 106 116 125 145 200 212 232 250 265 290 400 424 464 500 530 580 725 848 1000 1060 1160 1325 1450 1537 2000 2120 2320 2650 2900 3074 3625 4240 5300 5800 6148 6625 7250 7685 10600 11600 12296 13250 14500 15370 21200 24592 26500 29000 30740 38425 53000 58000 61480 76850 106000 122960 153700 192125 307400 384250 614800 657841 768500 1315682 1537000 2631364 3074000 3289205 5262728 6578410 10525456 13156820 16446025 19077389 26313640 32892050 34865573 38154778 52627280 65784100 69731146 76309556 82230125 95386945 131568200 139462292 152619112 164460250 174327865 190773890 263136400 278924584 305238224 328920500 348655730 381547780 476934725 557849168 657841000 697311460 763095560 871639325 953869450 1011101617 1315682000 1394622920 1526191120 1743278650 1907738900 2022203234 2384673625 2789245840 3486557300 3815477800 4044406468 4358196625 4769347250 5055508085 6973114600 7630955600 8088812936 8716393250 9538694500 10111016170 13946229200 16177625872 17432786500 19077389000 20222032340 25277540425 34865573000 38154778000 40444064680 50555080850 69731146000 80888129360 101110161700 126387702125 202220323400 252775404250 404440646800 505550808500 1011101617000 2022203234000