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312214232 = 2311192947137
BaseRepresentation
bin10010100111000…
…000001011011000
3210202111010102002
4102213000023120
51114411323412
650551500132
710510530401
oct2247001330
9722433362
10312214232
111502671a0
1288687648
134c8b6465
142d6729a8
151c622dc2
hex129c02d8

312214232 has 128 divisors (see below), whose sum is σ = 715392000. Its totient is φ = 126120960.

The previous prime is 312214223. The next prime is 312214247. The reversal of 312214232 is 232412213.

It is a congruent number.

It is an unprimeable number.

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, 2278868 + ... + 2279004.

It is an arithmetic number, because the mean of its divisors is an integer number (5589000).

Almost surely, 2312214232 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 312214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357696000).

312214232 is an abundant number, since it is smaller than the sum of its proper divisors (403177768).

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

312214232 is a wasteful number, since it uses less digits than its factorization.

312214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 312214232 is about 17669.5849413618. The cubic root of 312214232 is about 678.3974894127.

Adding to 312214232 its reverse (232412213), we get a palindrome (544626445).

It can be divided in two parts, 31221 and 4232, that added together give a palindrome (35453).

The spelling of 312214232 in words is "three hundred twelve million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 29 38 44 47 58 76 88 94 116 137 152 188 209 232 274 319 376 418 517 548 551 638 836 893 1034 1096 1102 1276 1363 1507 1672 1786 2068 2204 2552 2603 2726 3014 3572 3973 4136 4408 5206 5452 6028 6061 6439 7144 7946 9823 10412 10904 12056 12122 12878 14993 15892 19646 20824 24244 25756 25897 28633 29986 31784 39292 43703 48488 51512 51794 57266 59972 70829 75487 78584 87406 103588 114532 119944 122341 141658 150974 174812 186731 207176 229064 244682 283316 284867 301948 349624 373462 489364 566632 569734 603896 746924 830357 978728 1139468 1345751 1493848 1660714 2054041 2278936 2691502 3321428 3547889 4108082 5383004 6642856 7095778 8216164 10766008 14191556 16432328 28383112 39026779 78053558 156107116 312214232