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122232656 = 24721367179
BaseRepresentation
bin1110100100100…
…01111101010000
322112000001200102
413102101331100
5222242421111
620043511532
73012650300
oct722217520
9275001612
10122232656
1162aa7227
1234b285a8
131c429220
141233b600
15aae713b
hex7491f50

122232656 has 120 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 47367936.

The previous prime is 122232647. The next prime is 122232661. The reversal of 122232656 is 656232221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682775 + ... + 682953.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 2122232656 is an apocalyptic number.

122232656 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 122232656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

122232656 is an abundant number, since it is smaller than the sum of its proper divisors (180560464).

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

122232656 is a wasteful number, since it uses less digits than its factorization.

122232656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 122232656 is about 11055.8878431359. The cubic root of 122232656 is about 496.2826389461.

Adding to 122232656 its reverse (656232221), we get a palindrome (778464877).

The spelling of 122232656 in words is "one hundred twenty-two million, two hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 67 91 98 104 112 134 179 182 196 208 268 358 364 392 469 536 637 716 728 784 871 938 1072 1253 1274 1432 1456 1742 1876 2327 2506 2548 2864 3283 3484 3752 4654 5012 5096 6097 6566 6968 7504 8771 9308 10024 10192 11993 12194 13132 13936 16289 17542 18616 20048 23986 24388 26264 32578 35084 37232 42679 47972 48776 52528 65156 70168 83951 85358 95944 97552 114023 130312 140336 155909 167902 170716 191888 228046 260624 311818 335804 341432 456092 587657 623636 671608 682864 912184 1091363 1175314 1247272 1343216 1824368 2182726 2350628 2494544 4365452 4701256 7639541 8730904 9402512 15279082 17461808 30558164 61116328 122232656