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23372140 = 225112331149
BaseRepresentation
bin101100100101…
…0000101101100
31121222102112211
41121022011230
521440402030
62152540204
7402442231
oct131120554
947872484
1023372140
1112213920
1279b1664
134ac428c
143165788
1520ba12a
hex164a16c

23372140 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 7814400.

The previous prime is 23372137. The next prime is 23372143. The reversal of 23372140 is 4127332.

It is an interprime number because it is at equal distance from previous prime (23372137) and next prime (23372143).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23372143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156786 + ... + 156934.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 223372140 is an apocalyptic number.

23372140 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 23372140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

23372140 is an abundant number, since it is smaller than the sum of its proper divisors (34688660).

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

23372140 is a wasteful number, since it uses less digits than its factorization.

23372140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 23372140 is about 4834.4741182470. The cubic root of 23372140 is about 285.9122915557.

Adding to 23372140 its reverse (4127332), we get a palindrome (27499472).

The spelling of 23372140 in words is "twenty-three million, three hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 149 155 220 230 253 298 310 341 460 506 596 620 682 713 745 1012 1265 1364 1426 1490 1639 1705 2530 2852 2980 3278 3410 3427 3565 4619 5060 6556 6820 6854 7130 7843 8195 9238 13708 14260 15686 16390 17135 18476 23095 31372 32780 34270 37697 39215 46190 50809 68540 75394 78430 92380 101618 106237 150788 156860 188485 203236 212474 254045 376970 424948 508090 531185 753940 1016180 1062370 1168607 2124740 2337214 4674428 5843035 11686070 23372140