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155500900 = 2252292432
BaseRepresentation
bin10010100010011…
…00000101100100
3101211121021010121
421101030011210
5304302012100
623232531324
73565510252
oct1121140544
9354537117
10155500900
117a85a145
12440b0b44
13262a6989
141691b5d2
15d9b951a
hex944c164

155500900 has 81 divisors (see below), whose sum is σ = 357790251. Its totient is φ = 58658880.

The previous prime is 155500843. The next prime is 155500949. The reversal of 155500900 is 9005551.

The square root of 155500900 is 12470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2137444 + 153363456 = 1462^2 + 12384^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3616279 + ... + 3616321.

Almost surely, 2155500900 is an apocalyptic number.

155500900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155500900 is the 12470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155500900

155500900 is an abundant number, since it is smaller than the sum of its proper divisors (202289351).

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

155500900 is a wasteful number, since it uses less digits than its factorization.

155500900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 25.

The cubic root of 155500900 is about 537.7465535542.

Multiplying 155500900 by its sum of digits (25), we get a square (3887522500 = 623502).

155500900 divided by its sum of digits (25) gives a square (6220036 = 24942).

The spelling of 155500900 in words is "one hundred fifty-five million, five hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 43 50 58 86 100 116 145 172 215 290 430 580 725 841 860 1075 1247 1450 1682 1849 2150 2494 2900 3364 3698 4205 4300 4988 6235 7396 8410 9245 12470 16820 18490 21025 24940 31175 36163 36980 42050 46225 53621 62350 72326 84100 92450 107242 124700 144652 180815 184900 214484 268105 361630 536210 723260 904075 1072420 1340525 1555009 1808150 2681050 3110018 3616300 5362100 6220036 7775045 15550090 31100180 38875225 77750450 155500900