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23313380 = 2251923229
BaseRepresentation
bin101100011101…
…1101111100100
31121212102221112
41120323233210
521432012010
62151404152
7402106016
oct130735744
947772845
1023313380
1112183762
127983658
134aa35cc
14314c1b6
1520a7a05
hex163bbe4

23313380 has 36 divisors (see below), whose sum is σ = 51686460. Its totient is φ = 8831808.

The previous prime is 23313377. The next prime is 23313383. The reversal of 23313380 is 8331332.

It is an interprime number because it is at equal distance from previous prime (23313377) and next prime (23313383).

It can be written as a sum of positive squares in 2 ways, for example, as 7695076 + 15618304 = 2774^2 + 3952^2 .

It is not an unprimeable number, because it can be changed into a prime (23313383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5606 + ... + 8834.

It is an arithmetic number, because the mean of its divisors is an integer number (1435735).

Almost surely, 223313380 is an apocalyptic number.

23313380 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 23313380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843230).

23313380 is an abundant number, since it is smaller than the sum of its proper divisors (28373080).

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

23313380 is a wasteful number, since it uses less digits than its factorization.

23313380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 23313380 is about 4828.3931074427. The cubic root of 23313380 is about 285.6724860279.

The spelling of 23313380 in words is "twenty-three million, three hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3229 3610 6458 7220 12916 16145 32290 61351 64580 122702 245404 306755 613510 1165669 1227020 2331338 4662676 5828345 11656690 23313380