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22553135000 = 2354111724121
BaseRepresentation
bin10101000000010001…
…011000011110011000
32011012202200222001022
4111000101120132120
5332142100310000
614205531542012
71425613325114
oct250021303630
964182628038
1022553135000
119623725150
124454bba908
13218561c3c6
14113d408744
158bee90585
hex540458798

22553135000 has 160 divisors (see below), whose sum is σ = 61039273680. Its totient is φ = 7718400000.

The previous prime is 22553134987. The next prime is 22553135023. The reversal of 22553135000 is 53135522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 922940 + ... + 947060.

Almost surely, 222553135000 is an apocalyptic number.

22553135000 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 22553135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30519636840).

22553135000 is an abundant number, since it is smaller than the sum of its proper divisors (38486138680).

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

22553135000 is a wasteful number, since it uses less digits than its factorization.

22553135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24175 (or 24156 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The spelling of 22553135000 in words is "twenty-two billion, five hundred fifty-three million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 625 680 748 850 935 1000 1100 1250 1375 1496 1700 1870 2125 2200 2500 2750 3400 3740 4250 4675 5000 5500 6875 7480 8500 9350 10625 11000 13750 17000 18700 21250 23375 24121 27500 37400 42500 46750 48242 55000 85000 93500 96484 116875 120605 187000 192968 233750 241210 265331 410057 467500 482420 530662 603025 820114 935000 964840 1061324 1206050 1326655 1640228 2050285 2122648 2412100 2653310 3015125 3280456 4100570 4510627 4824200 5306620 6030250 6633275 8201140 9021254 10251425 10613240 12060500 13266550 15075625 16402280 18042508 20502850 22553135 24121000 26533100 30151250 33166375 36085016 41005700 45106270 51257125 53066200 60302500 66332750 82011400 90212540 102514250 112765675 120605000 132665500 165831875 180425080 205028500 225531350 256285625 265331000 331663750 410057000 451062700 512571250 563828375 663327500 902125400 1025142500 1127656750 1326655000 2050285000 2255313500 2819141875 4510627000 5638283750 11276567500 22553135000