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23244140 = 22537101311
BaseRepresentation
bin101100010101…
…0110101101100
31121201220222002
41120222311230
521422303030
62150111432
7401400113
oct130526554
947656862
1023244140
1112136737
12794b578
134a7ac3a
143130c7a
152092245
hex162ad6c

23244140 has 48 divisors (see below), whose sum is σ = 50791104. Its totient is φ = 8928000.

The previous prime is 23244139. The next prime is 23244161. The reversal of 23244140 is 4144232.

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, 74585 + ... + 74895.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148).

Almost surely, 223244140 is an apocalyptic number.

23244140 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 23244140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25395552).

23244140 is an abundant number, since it is smaller than the sum of its proper divisors (27546964).

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

23244140 is a wasteful number, since it uses less digits than its factorization.

23244140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 23244140 is about 4821.2176885098. The cubic root of 23244140 is about 285.3893928391.

Adding to 23244140 its reverse (4144232), we get a palindrome (27388372).

The spelling of 23244140 in words is "twenty-three million, two hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 311 370 404 505 622 740 1010 1244 1555 2020 3110 3737 6220 7474 11507 14948 18685 23014 31411 37370 46028 57535 62822 74740 115070 125644 157055 230140 314110 628220 1162207 2324414 4648828 5811035 11622070 23244140