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23233440 = 253597499
BaseRepresentation
bin101100010100…
…0001110100000
31121201101021210
41120220032200
521421432230
62145550120
7401323656
oct130501640
947641253
1023233440
111212969a
127945340
134a760c9
14312add6
15208deb0
hex16283a0

23233440 has 96 divisors (see below), whose sum is σ = 74088000. Its totient is φ = 6119424.

The previous prime is 23233439. The next prime is 23233471. The reversal of 23233440 is 4433232.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46311 + ... + 46809.

It is an arithmetic number, because the mean of its divisors is an integer number (771750).

Almost surely, 223233440 is an apocalyptic number.

23233440 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 23233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37044000).

23233440 is an abundant number, since it is smaller than the sum of its proper divisors (50854560).

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

23233440 is a wasteful number, since it uses less digits than its factorization.

23233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 23233440 is about 4820.1078826101. The cubic root of 23233440 is about 285.3455949157.

Adding to 23233440 its reverse (4433232), we get a palindrome (27666672).

The spelling of 23233440 in words is "twenty-three million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 499 582 776 970 998 1164 1455 1497 1552 1940 1996 2328 2495 2910 2994 3104 3880 3992 4656 4990 5820 5988 7485 7760 7984 9312 9980 11640 11976 14970 15520 15968 19960 23280 23952 29940 39920 46560 47904 48403 59880 79840 96806 119760 145209 193612 239520 242015 290418 387224 484030 580836 726045 774448 968060 1161672 1452090 1548896 1936120 2323344 2904180 3872240 4646688 5808360 7744480 11616720 23233440