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23122944 = 2103213193
BaseRepresentation
bin101100000110…
…1010000000000
31121111202201100
41120031100000
521404413234
62143334400
7400353555
oct130152000
947452640
1023122944
1112063679
1278b1400
134a37a20
1430dca2c
15206b399
hex160d400

23122944 has 132 divisors (see below), whose sum is σ = 72275476. Its totient is φ = 7077888.

The previous prime is 23122937. The next prime is 23122961. The reversal of 23122944 is 44922132.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 18662400 = 2112^2 + 4320^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119712 + ... + 119904.

Almost surely, 223122944 is an apocalyptic number.

23122944 is a gapful number since it is divisible by the number (24) 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 23122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36137738).

23122944 is an abundant number, since it is smaller than the sum of its proper divisors (49152532).

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

23122944 is a wasteful number, since it uses less digits than its factorization.

23122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23122944 is about 4808.6322379654. The cubic root of 23122944 is about 284.8925171799.

The spelling of 23122944 in words is "twenty-three million, one hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 193 208 234 256 288 312 384 386 416 468 512 576 579 624 768 772 832 936 1024 1152 1158 1248 1536 1544 1664 1737 1872 2304 2316 2496 2509 3072 3088 3328 3474 3744 4608 4632 4992 5018 6176 6656 6948 7488 7527 9216 9264 9984 10036 12352 13312 13896 14976 15054 18528 19968 20072 22581 24704 27792 29952 30108 37056 39936 40144 45162 49408 55584 59904 60216 74112 80288 90324 98816 111168 119808 120432 148224 160576 180648 197632 222336 240864 296448 321152 361296 444672 481728 592896 642304 722592 889344 963456 1284608 1445184 1778688 1926912 2569216 2890368 3853824 5780736 7707648 11561472 23122944