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204157100 = 225272989113
BaseRepresentation
bin11000010101100…
…11000010101100
3112020011020220002
430022303002230
5404231011400
632131443432
75026210130
oct1412630254
9466136802
10204157100
11a5272284
1258456578
13333b1524
141d1853c0
1512dcaed5
hexc2b30ac

204157100 has 144 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 66232320.

The previous prime is 204157091. The next prime is 204157117. The reversal of 204157100 is 1751402.

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 47 ways as a sum of consecutive naturals, for example, 1806644 + ... + 1806756.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2204157100 is an apocalyptic number.

204157100 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 204157100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

204157100 is an abundant number, since it is smaller than the sum of its proper divisors (330183700).

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

204157100 is a wasteful number, since it uses less digits than its factorization.

204157100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 204157100 is about 14288.3553987154. The cubic root of 204157100 is about 588.8276057953.

The spelling of 204157100 in words is "two hundred four million, one hundred fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 89 100 113 116 140 145 175 178 203 226 290 350 356 406 445 452 565 580 623 700 725 791 812 890 1015 1130 1246 1450 1582 1780 2030 2225 2260 2492 2581 2825 2900 3115 3164 3277 3955 4060 4450 5075 5162 5650 6230 6554 7910 8900 10057 10150 10324 11300 12460 12905 13108 15575 15820 16385 18067 19775 20114 20300 22939 25810 31150 32770 36134 39550 40228 45878 50285 51620 62300 64525 65540 70399 72268 79100 81925 90335 91756 100570 114695 129050 140798 163850 180670 201140 229390 251425 258100 281596 291653 327700 351995 361340 451675 458780 502850 573475 583306 703990 903350 1005700 1146950 1166612 1407980 1458265 1759975 1806700 2041571 2293900 2916530 3519950 4083142 5833060 7039900 7291325 8166284 10207855 14582650 20415710 29165300 40831420 51039275 102078550 204157100