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202244141000 = 23531134135387
BaseRepresentation
bin1011110001011010110…
…0001010111111001000
3201100000202000212012202
42330112230022333020
511303144000003000
6232524253455332
720416540556066
oct2742654127710
9640022025182
10202244141000
11788535aa590
12332431a1548
13160c1237165
149b0816d036
1553da4aedd5
hex2f16b0afc8

202244141000 has 128 divisors (see below), whose sum is σ = 516521266560. Its totient is φ = 73508128000.

The previous prime is 202244140999. The next prime is 202244141027. The reversal of 202244141000 is 141442202.

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

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, 37540307 + ... + 37545693.

It is an arithmetic number, because the mean of its divisors is an integer number (4035322395).

Almost surely, 2202244141000 is an apocalyptic number.

202244141000 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 202244141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258260633280).

202244141000 is an abundant number, since it is smaller than the sum of its proper divisors (314277125560).

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

202244141000 is a wasteful number, since it uses less digits than its factorization.

202244141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8832 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202244141000 its reverse (141442202), we get a palindrome (202385583202).

The spelling of 202244141000 in words is "two hundred two billion, two hundred forty-four million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 3413 5387 5500 6826 10774 11000 13652 17065 21548 26935 27304 34130 37543 43096 53870 59257 68260 75086 85325 107740 118514 134675 136520 150172 170650 187715 215480 237028 269350 296285 300344 341300 375430 426625 474056 538700 592570 673375 682600 750860 853250 938575 1077400 1185140 1346750 1481425 1501720 1706500 1877150 2370280 2693500 2962850 3413000 3754300 4692875 5387000 5925700 7407125 7508600 9385750 11851400 14814250 18385831 18771500 29628500 36771662 37543000 59257000 73543324 91929155 147086648 183858310 202244141 367716620 404488282 459645775 735433240 808976564 919291550 1011220705 1617953128 1838583100 2022441410 2298228875 3677166200 4044882820 4596457750 5056103525 8089765640 9192915500 10112207050 18385831000 20224414100 25280517625 40448828200 50561035250 101122070500 202244141000