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155361228 = 223112373701
BaseRepresentation
bin10010100001010…
…01111111001100
3101211100011112120
421100221333030
5304233024403
623225532540
73564356121
oct1120517714
9354304476
10155361228
117a774210
1244044150
1326258229
14168c2748
15d98ce53
hex9429fcc

155361228 has 96 divisors (see below), whose sum is σ = 418908672. Its totient is φ = 44352000.

The previous prime is 155361223. The next prime is 155361253. The reversal of 155361228 is 822163551.

155361228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1553612282 = 48274222331335968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (155361221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221278 + ... + 221978.

It is an arithmetic number, because the mean of its divisors is an integer number (4363632).

Almost surely, 2155361228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155361228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209454336).

155361228 is an abundant number, since it is smaller than the sum of its proper divisors (263547444).

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

155361228 is a wasteful number, since it uses less digits than its factorization.

155361228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 155361228 is about 12464.3984211032. The cubic root of 155361228 is about 537.5855027491.

The spelling of 155361228 in words is "one hundred fifty-five million, three hundred sixty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 73 92 132 138 146 219 253 276 292 438 506 701 759 803 876 1012 1402 1518 1606 1679 2103 2409 2804 3036 3212 3358 4206 4818 5037 6716 7711 8412 9636 10074 15422 16123 18469 20148 23133 30844 32246 36938 46266 48369 51173 55407 64492 73876 92532 96738 102346 110814 153519 177353 193476 204692 221628 307038 354706 532059 562903 614076 709412 1064118 1125806 1176979 1688709 2128236 2251612 2353958 3377418 3530937 4707916 6754836 7061874 12946769 14123748 25893538 38840307 51787076 77680614 155361228