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23538372 = 223112132943
BaseRepresentation
bin101100111001…
…0101011000100
31122021212120120
41121302223010
522011211442
62200301540
7404033664
oct131625304
948255516
1023538372
1112317800
127a718b0
134b51b40
1431aa1a4
1520ee4ec
hex1672ac4

23538372 has 144 divisors (see below), whose sum is σ = 68819520. Its totient is φ = 6209280.

The previous prime is 23538371. The next prime is 23538379. The reversal of 23538372 is 27383532.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (23538371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547383 + ... + 547425.

Almost surely, 223538372 is an apocalyptic number.

23538372 is a gapful number since it is divisible by the number (22) 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 23538372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34409760).

23538372 is an abundant number, since it is smaller than the sum of its proper divisors (45281148).

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

23538372 is a wasteful number, since it uses less digits than its factorization.

23538372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 23538372 is about 4851.6360127281. The cubic root of 23538372 is about 286.5885316767.

The spelling of 23538372 in words is "twenty-three million, five hundred thirty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 43 44 52 58 66 78 86 87 116 121 129 132 143 156 172 174 242 258 286 319 348 363 377 429 473 484 516 559 572 638 726 754 858 946 957 1118 1131 1247 1276 1419 1452 1508 1573 1677 1716 1892 1914 2236 2262 2494 2838 3146 3354 3509 3741 3828 4147 4524 4719 4988 5203 5676 6149 6292 6708 7018 7482 8294 9438 10406 10527 12298 12441 13717 14036 14964 15609 16211 16588 18447 18876 20812 21054 24596 24882 27434 31218 32422 36894 41151 42108 45617 48633 49764 54868 62436 64844 67639 73788 82302 91234 97266 135278 136851 150887 164604 178321 182468 194532 202917 270556 273702 301774 356642 405834 452661 534963 547404 603548 713284 811668 905322 1069926 1810644 1961531 2139852 3923062 5884593 7846124 11769186 23538372