Search a number
-
+
23157400 = 23527217139
BaseRepresentation
bin101100001010…
…1101010011000
31121120111222111
41120111222120
521412014100
62144202104
7400556200
oct130255230
947514874
1023157400
1112087552
127909334
134a4a606
14310b400
1520766ba
hex1615a98

23157400 has 144 divisors (see below), whose sum is σ = 66792600. Its totient is φ = 7418880.

The previous prime is 23157397. The next prime is 23157401. The reversal of 23157400 is 475132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23157401) 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 35 ways as a sum of consecutive naturals, for example, 166531 + ... + 166669.

Almost surely, 223157400 is an apocalyptic number.

23157400 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 23157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33396300).

23157400 is an abundant number, since it is smaller than the sum of its proper divisors (43635200).

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

23157400 is a wasteful number, since it uses less digits than its factorization.

23157400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 23157400 is about 4812.2136278432. The cubic root of 23157400 is about 285.0339551213.

The spelling of 23157400 in words is "twenty-three million, one hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 49 50 56 68 70 85 98 100 119 136 139 140 170 175 196 200 238 245 278 280 340 350 392 425 476 490 556 595 680 695 700 833 850 952 973 980 1112 1190 1225 1390 1400 1666 1700 1946 1960 2363 2380 2450 2780 2975 3332 3400 3475 3892 4165 4726 4760 4865 4900 5560 5950 6664 6811 6950 7784 8330 9452 9730 9800 11815 11900 13622 13900 16541 16660 18904 19460 20825 23630 23800 24325 27244 27800 33082 33320 34055 38920 41650 47260 48650 54488 59075 66164 68110 82705 83300 94520 97300 115787 118150 132328 136220 165410 166600 170275 194600 231574 236300 272440 330820 340550 413525 463148 472600 578935 661640 681100 827050 926296 1157870 1362200 1654100 2315740 2894675 3308200 4631480 5789350 11578700 23157400