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23221296 = 2433721097
BaseRepresentation
bin101100010010…
…1010000110000
31121200202122000
41120211100300
521421040141
62145414000
7401243400
oct130452060
947622560
1023221296
111212055a
12793a300
134a70717
143126800
15208a5b6
hex1625430

23221296 has 120 divisors (see below), whose sum is σ = 77606640. Its totient is φ = 6628608.

The previous prime is 23221291. The next prime is 23221301. The reversal of 23221296 is 69212232.

It is an interprime number because it is at equal distance from previous prime (23221291) and next prime (23221301).

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

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

It is not an unprimeable number, because it can be changed into a prime (23221291) 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, 20620 + ... + 21716.

It is an arithmetic number, because the mean of its divisors is an integer number (646722).

Almost surely, 223221296 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 23221296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38803320).

23221296 is an abundant number, since it is smaller than the sum of its proper divisors (54385344).

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

23221296 is a wasteful number, since it uses less digits than its factorization.

23221296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 23221296 is about 4818.8479951125. The cubic root of 23221296 is about 285.2958700244.

It can be divided in two parts, 232 and 21296, that added together give a triangular number (21528 = T207).

The spelling of 23221296 in words is "twenty-three million, two hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1097 1176 1323 1512 1764 2194 2352 2646 3024 3291 3528 4388 5292 6582 7056 7679 8776 9873 10584 13164 15358 17552 19746 21168 23037 26328 29619 30716 39492 46074 52656 53753 59238 61432 69111 78984 92148 107506 118476 122864 138222 157968 161259 184296 207333 215012 236952 276444 322518 368592 414666 430024 473904 483777 552888 645036 829332 860048 967554 1105776 1290072 1451331 1658664 1935108 2580144 2902662 3317328 3870216 5805324 7740432 11610648 23221296