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23215340 = 22519199307
BaseRepresentation
bin101100010001…
…1110011101100
31121200110110102
41120203303230
521420342330
62145330232
7401220131
oct130436354
947613412
1023215340
1112117035
127936978
134a6aab5
143124588
152088945
hex1623cec

23215340 has 48 divisors (see below), whose sum is σ = 51744000. Its totient is φ = 8724672.

The previous prime is 23215327. The next prime is 23215351. The reversal of 23215340 is 4351232.

23215340 = 17002 + 17012 + ... + 17072.

It is a happy number.

It is a super-2 number, since 2×232153402 = 1077904022631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 75467 + ... + 75773.

It is an arithmetic number, because the mean of its divisors is an integer number (1078000).

Almost surely, 223215340 is an apocalyptic number.

23215340 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 23215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25872000).

23215340 is an abundant number, since it is smaller than the sum of its proper divisors (28528660).

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

23215340 is a wasteful number, since it uses less digits than its factorization.

23215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23215340 is about 4818.2299654541. The cubic root of 23215340 is about 285.2714762165.

Adding to 23215340 its reverse (4351232), we get a palindrome (27566572).

The spelling of 23215340 in words is "twenty-three million, two hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 199 307 380 398 614 796 995 1228 1535 1990 3070 3781 3980 5833 6140 7562 11666 15124 18905 23332 29165 37810 58330 61093 75620 116660 122186 244372 305465 610930 1160767 1221860 2321534 4643068 5803835 11607670 23215340