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23191240 = 2354179179
BaseRepresentation
bin101100001110…
…1111011001000
31121122020101211
41120131323020
521414104430
62145022504
7401056642
oct130357310
947566354
1023191240
11120aaa16
127924a34
134a5cb37
143119892
15208172a
hex161dec8

23191240 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 8885760.

The previous prime is 23191237. The next prime is 23191249. The reversal of 23191240 is 4219132.

It is a super-2 number, since 2×231912402 = 1075667225475200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23191249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129471 + ... + 129649.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 223191240 is an apocalyptic number.

23191240 is a gapful number since it is divisible by the number (20) 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 23191240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

23191240 is an abundant number, since it is smaller than the sum of its proper divisors (31240760).

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

23191240 is a wasteful number, since it uses less digits than its factorization.

23191240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 23191240 is about 4815.7283976570. The cubic root of 23191240 is about 285.1727279613.

The spelling of 23191240 in words is "twenty-three million, one hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 179 205 316 328 358 395 410 632 716 790 820 895 1432 1580 1640 1790 3160 3239 3580 6478 7160 7339 12956 14141 14678 16195 25912 28282 29356 32390 36695 56564 58712 64780 70705 73390 113128 129560 141410 146780 282820 293560 565640 579781 1159562 2319124 2898905 4638248 5797810 11595620 23191240