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23201472 = 263761283
BaseRepresentation
bin101100010000…
…0011011000000
31121122202102210
41120200123000
521414421342
62145142120
7401131530
oct130403300
947582383
1023201472
1112107678
12792a940
134a646a8
14311d4c0
15208479c
hex16206c0

23201472 has 112 divisors (see below), whose sum is σ = 71558912. Its totient is φ = 6497280.

The previous prime is 23201429. The next prime is 23201473. The reversal of 23201472 is 27410232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23201473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81843 + ... + 82125.

Almost surely, 223201472 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 23201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35779456).

23201472 is an abundant number, since it is smaller than the sum of its proper divisors (48357440).

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

23201472 is a wasteful number, since it uses less digits than its factorization.

23201472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 23201472 is about 4816.7906327761. The cubic root of 23201472 is about 285.2146612995.

The spelling of 23201472 in words is "twenty-three million, two hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 283 336 366 427 448 488 566 672 732 849 854 976 1132 1281 1344 1464 1698 1708 1952 1981 2264 2562 2928 3396 3416 3904 3962 4528 5124 5856 5943 6792 6832 7924 9056 10248 11712 11886 13584 13664 15848 17263 18112 20496 23772 27168 27328 31696 34526 40992 47544 51789 54336 63392 69052 81984 95088 103578 120841 126784 138104 190176 207156 241682 276208 362523 380352 414312 483364 552416 725046 828624 966728 1104832 1450092 1657248 1933456 2900184 3314496 3866912 5800368 7733824 11600736 23201472