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12223872 = 2736131
BaseRepresentation
bin101110101000…
…010110000000
3212000001000000
4232220112000
511112130442
61114000000
7205621053
oct56502600
925001000
1012223872
116999a81
124116000
1326bcb7b
1418a2a9a
151116d4c
hexba8580

12223872 has 112 divisors (see below), whose sum is σ = 36790380. Its totient is φ = 4043520.

The previous prime is 12223853. The next prime is 12223891. The reversal of 12223872 is 27832221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12223853) and next prime (12223891).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93247 + ... + 93377.

Almost surely, 212223872 is an apocalyptic number.

12223872 is a gapful number since it is divisible by the number (12) 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 12223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395190).

12223872 is an abundant number, since it is smaller than the sum of its proper divisors (24566508).

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

12223872 is an frugal number, since it uses more digits than its factorization.

12223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 12223872 is about 3496.2654361475. The cubic root of 12223872 is about 230.3578047729.

The spelling of 12223872 in words is "twelve million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 243 262 288 324 384 393 432 486 524 576 648 729 786 864 972 1048 1152 1179 1296 1458 1572 1728 1944 2096 2358 2592 2916 3144 3456 3537 3888 4192 4716 5184 5832 6288 7074 7776 8384 9432 10368 10611 11664 12576 14148 15552 16768 18864 21222 23328 25152 28296 31104 31833 37728 42444 46656 50304 56592 63666 75456 84888 93312 95499 113184 127332 150912 169776 190998 226368 254664 339552 381996 452736 509328 679104 763992 1018656 1358208 1527984 2037312 3055968 4074624 6111936 12223872