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23233040 = 2453747167
BaseRepresentation
bin101100010100…
…0001000010000
31121201100201222
41120220020100
521421424130
62145544212
7401322545
oct130501020
947640658
1023233040
1112129366
127945068
134a75b7c
14312abcc
15208dce5
hex1628210

23233040 has 80 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 8796672.

The previous prime is 23233037. The next prime is 23233061. The reversal of 23233040 is 4033232.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139037 + ... + 139203.

Almost surely, 223233040 is an apocalyptic number.

23233040 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 23233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

23233040 is an abundant number, since it is smaller than the sum of its proper divisors (33763312).

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

23233040 is a wasteful number, since it uses less digits than its factorization.

23233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 23233040 is about 4820.0663895843. The cubic root of 23233040 is about 285.3439573494.

Adding to 23233040 its reverse (4033232), we get a palindrome (27266272).

The spelling of 23233040 in words is "twenty-three million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 47 74 80 94 148 167 185 188 235 296 334 370 376 470 592 668 740 752 835 940 1336 1480 1670 1739 1880 2672 2960 3340 3478 3760 6179 6680 6956 7849 8695 12358 13360 13912 15698 17390 24716 27824 30895 31396 34780 39245 49432 61790 62792 69560 78490 98864 123580 125584 139120 156980 247160 290413 313960 494320 580826 627920 1161652 1452065 2323304 2904130 4646608 5808260 11616520 23233040