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155054004200 = 235229109245261
BaseRepresentation
bin1001000001100111110…
…0000101011111101000
3112211012222110112021022
42100121330011133220
510020022311113300
6155121505232012
714126245201244
oct2203174053750
9484188415238
10155054004200
115a837a41327
1226073332608
1311810668ba4
14770caad424
154077652285
hex2419f057e8

155054004200 has 96 divisors (see below), whose sum is σ = 376354539000. Its totient is φ = 59333299200.

The previous prime is 155054004199. The next prime is 155054004293. The reversal of 155054004200 is 2400450551.

It can be written as a sum of positive squares in 12 ways, for example, as 62247256036 + 92806748164 = 249494^2 + 304642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 155054004200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509570 + ... + 754830.

Almost surely, 2155054004200 is an apocalyptic number.

155054004200 is a gapful number since it is divisible by the number (10) 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 155054004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188177269500).

155054004200 is an abundant number, since it is smaller than the sum of its proper divisors (221300534800).

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

155054004200 is a wasteful number, since it uses less digits than its factorization.

155054004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245415 (or 245406 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 155054004200 its reverse (2400450551), we get a palindrome (157454454751).

The spelling of 155054004200 in words is "one hundred fifty-five billion, fifty-four million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 109 116 145 200 218 232 290 436 545 580 725 872 1090 1160 1450 2180 2725 2900 3161 4360 5450 5800 6322 10900 12644 15805 21800 25288 31610 63220 79025 126440 158050 245261 316100 490522 632200 981044 1226305 1962088 2452610 4905220 6131525 7112569 9810440 12263050 14225138 24526100 26733449 28450276 35562845 49052200 53466898 56900552 71125690 106933796 133667245 142251380 177814225 213867592 267334490 284502760 355628450 534668980 668336225 711256900 775270021 1069337960 1336672450 1422513800 1550540042 2673344900 3101080084 3876350105 5346689800 6202160168 7752700210 15505400420 19381750525 31010800840 38763501050 77527002100 155054004200