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216355152 = 243132149179
BaseRepresentation
bin11001110010101…
…01000101010000
3120002002222110210
430321111011100
5420341331102
633245124120
75234663016
oct1471250520
9502088423
10216355152
11101143912
1260559640
1335a92700
1420a3c8b6
1513eda36c
hexce55150

216355152 has 120 divisors (see below), whose sum is σ = 612684000. Its totient is φ = 65754624.

The previous prime is 216355151. The next prime is 216355157. The reversal of 216355152 is 251553612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216355151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1208599 + ... + 1208777.

It is an arithmetic number, because the mean of its divisors is an integer number (5105700).

Almost surely, 2216355152 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 216355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306342000).

216355152 is an abundant number, since it is smaller than the sum of its proper divisors (396328848).

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

216355152 is a wasteful number, since it uses less digits than its factorization.

216355152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 216355152 is about 14709.0160105970. The cubic root of 216355152 is about 600.3286643778.

The spelling of 216355152 in words is "two hundred sixteen million, three hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 169 179 208 298 312 338 358 447 507 537 596 624 676 716 894 1014 1074 1192 1352 1432 1788 1937 2028 2148 2327 2384 2704 2864 3576 3874 4056 4296 4654 5811 6981 7152 7748 8112 8592 9308 11622 13962 15496 18616 23244 25181 26671 27924 30251 30992 37232 46488 50362 53342 55848 60502 75543 80013 90753 92976 100724 106684 111696 121004 151086 160026 181506 201448 213368 242008 302172 320052 346723 363012 402896 426736 484016 604344 640104 693446 726024 1040169 1208688 1280208 1386892 1452048 2080338 2773784 4160676 4507399 5547568 8321352 9014798 13522197 16642704 18029596 27044394 36059192 54088788 72118384 108177576 216355152