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155283216 = 243113153179
BaseRepresentation
bin10010100000101…
…10111100010000
3101211012012112020
421100112330100
5304223030331
623224131440
73563612514
oct1120267420
9354165466
10155283216
117a720640
1244006b80
132622b87a
14168a2144
15d974c96
hex9416f10

155283216 has 160 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 44428800.

The previous prime is 155283187. The next prime is 155283217. The reversal of 155283216 is 612382551.

It is a super-2 number, since 2×1552832162 = 48225754342605312, 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 (155283217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867415 + ... + 867593.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2155283216 is an apocalyptic number.

155283216 is a gapful number since it is divisible by the number (16) 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 155283216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

155283216 is an abundant number, since it is smaller than the sum of its proper divisors (307544304).

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

155283216 is a wasteful number, since it uses less digits than its factorization.

155283216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

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

The square root of 155283216 is about 12461.2686352554. The cubic root of 155283216 is about 537.4955078766.

The spelling of 155283216 in words is "one hundred fifty-five million, two hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 53 62 66 88 93 106 124 132 159 176 179 186 212 248 264 318 341 358 372 424 496 528 537 583 636 682 716 744 848 1023 1074 1166 1272 1364 1432 1488 1643 1749 1969 2046 2148 2332 2544 2728 2864 3286 3498 3938 4092 4296 4664 4929 5456 5549 5907 6572 6996 7876 8184 8592 9328 9487 9858 11098 11814 13144 13992 15752 16368 16647 18073 18974 19716 22196 23628 26288 27984 28461 31504 33294 36146 37948 39432 44392 47256 54219 56922 61039 66588 72292 75896 78864 88784 94512 104357 108438 113844 122078 133176 144584 151792 183117 208714 216876 227688 244156 266352 289168 294097 313071 366234 417428 433752 455376 488312 588194 626142 732468 834856 867504 882291 976624 1176388 1252284 1464936 1669712 1764582 2352776 2504568 2929872 3235067 3529164 4705552 5009136 6470134 7058328 9705201 12940268 14116656 19410402 25880536 38820804 51761072 77641608 155283216