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155385216 = 273472141
BaseRepresentation
bin10010100001011…
…11110110000000
3101211101101110000
421100233312000
5304234311331
623230240000
73564516060
oct1120576600
9354341400
10155385216
117a790238
1244056000
132626611c
14168cb3a0
15d9950e6
hex942fd80

155385216 has 160 divisors (see below), whose sum is σ = 528731280. Its totient is φ = 44375040.

The previous prime is 155385199. The next prime is 155385221. The reversal of 155385216 is 612583551.

It is a happy number.

155385216 is a `hidden beast` number, since 1 + 553 + 85 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71506 + ... + 73646.

Almost surely, 2155385216 is an apocalyptic number.

155385216 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 155385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264365640).

155385216 is an abundant number, since it is smaller than the sum of its proper divisors (373346064).

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

155385216 is an equidigital number, since it uses as much as digits as its factorization.

155385216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2153 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 155385216 is about 12465.3606446023. The cubic root of 155385216 is about 537.6131693203.

The spelling of 155385216 in words is "one hundred fifty-five million, three hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2141 2268 2592 2688 3024 3456 4032 4282 4536 5184 6048 6423 8064 8564 9072 10368 12096 12846 14987 17128 18144 19269 24192 25692 29974 34256 36288 38538 44961 51384 57807 59948 68512 72576 77076 89922 102768 115614 119896 134883 137024 154152 173421 179844 205536 231228 239792 269766 274048 308304 346842 359688 404649 411072 462456 479584 539532 616608 693684 719376 809298 822144 924912 959168 1079064 1213947 1233216 1387368 1438752 1618596 1849824 1918336 2158128 2427894 2466432 2774736 2877504 3237192 3699648 4316256 4855788 5549472 5755008 6474384 7399296 8632512 9711576 11098944 12948768 17265024 19423152 22197888 25897536 38846304 51795072 77692608 155385216