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23191872 = 2631179139
BaseRepresentation
bin101100001111…
…0000101000000
31121122021021020
41120132011000
521414114442
62145025440
7401061534
oct130360500
947567236
1023191872
1112100440
127925280
134a60202
143119bc4
1520819ec
hex161e140

23191872 has 112 divisors (see below), whose sum is σ = 68275200. Its totient is φ = 6888960.

The previous prime is 23191867. The next prime is 23191873. The reversal of 23191872 is 27819132.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23191873) 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, 166779 + ... + 166917.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 223191872 is an apocalyptic number.

23191872 is a gapful number since it is divisible by the number (22) 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 23191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600).

23191872 is an abundant number, since it is smaller than the sum of its proper divisors (45083328).

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

23191872 is a wasteful number, since it uses less digits than its factorization.

23191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 23191872 is about 4815.7940155285. The cubic root of 23191872 is about 285.1753184154.

The spelling of 23191872 in words is "twenty-three million, one hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 139 158 176 192 237 264 278 316 352 417 474 528 556 632 704 834 869 948 1056 1112 1264 1529 1668 1738 1896 2112 2224 2528 2607 3058 3336 3476 3792 4448 4587 5056 5214 6116 6672 6952 7584 8896 9174 10428 10981 12232 13344 13904 15168 18348 20856 21962 24464 26688 27808 32943 36696 41712 43924 48928 55616 65886 73392 83424 87848 97856 120791 131772 146784 166848 175696 241582 263544 293568 351392 362373 483164 527088 702784 724746 966328 1054176 1449492 1932656 2108352 2898984 3865312 5797968 7730624 11595936 23191872