[go: up one dir, main page]

Search a number
-
+
23197356 = 22327137397
BaseRepresentation
bin101100001111…
…1011010101100
31121122112210100
41120133122230
521414303411
62145111100
7401113530
oct130373254
947575710
1023197356
1112104576
127928490
134a62860
14311bbc0
152083456
hex161f6ac

23197356 has 144 divisors (see below), whose sum is σ = 73912384. Its totient is φ = 5971968.

The previous prime is 23197337. The next prime is 23197373. The reversal of 23197356 is 65379132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23197356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239100 + ... + 239196.

Almost surely, 223197356 is an apocalyptic number.

23197356 is a gapful number since it is divisible by the number (26) 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 23197356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36956192).

23197356 is an abundant number, since it is smaller than the sum of its proper divisors (50715028).

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

23197356 is a wasteful number, since it uses less digits than its factorization.

23197356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 23197356 is about 4816.3633583857. The cubic root of 23197356 is about 285.1977943672.

The spelling of 23197356 in words is "twenty-three million, one hundred ninety-seven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 73 78 84 91 97 117 126 146 156 182 194 219 234 252 273 291 292 364 388 438 468 511 546 582 657 679 819 873 876 949 1022 1092 1164 1261 1314 1358 1533 1638 1746 1898 2037 2044 2522 2628 2716 2847 3066 3276 3492 3783 3796 4074 4599 5044 5694 6111 6132 6643 7081 7566 8148 8541 8827 9198 11349 11388 12222 13286 14162 15132 17082 17654 18396 19929 21243 22698 24444 26481 26572 28324 34164 35308 39858 42486 45396 49567 52962 59787 63729 79443 79716 84972 92053 99134 105924 119574 127458 148701 158886 184106 198268 239148 254916 276159 297402 317772 368212 446103 552318 594804 644371 828477 892206 1104636 1288742 1656954 1784412 1933113 2577484 3313908 3866226 5799339 7732452 11598678 23197356