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23295108228 = 22372172638861
BaseRepresentation
bin10101101100011111…
…110010010010000100
32020010110212002222020
4111230133302102010
5340202021430403
614411315003140
71453163103300
oct255437622204
966113762866
1023295108228
119974532667
1246215994b0
132273266512
1411adb8ad00
159151a4453
hex56c7f2484

23295108228 has 144 divisors (see below), whose sum is σ = 67211109504. Its totient is φ = 6239708160.

The previous prime is 23295108227. The next prime is 23295108241. The reversal of 23295108228 is 82280159232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 23295108228.

It is not an unprimeable number, because it can be changed into a prime (23295108227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624518 + ... + 2633378.

It is an arithmetic number, because the mean of its divisors is an integer number (466743816).

Almost surely, 223295108228 is an apocalyptic number.

23295108228 is a gapful number since it is divisible by the number (28) 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 23295108228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33605554752).

23295108228 is an abundant number, since it is smaller than the sum of its proper divisors (43916001276).

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

23295108228 is a wasteful number, since it uses less digits than its factorization.

23295108228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 23295108228 in words is "twenty-three billion, two hundred ninety-five million, one hundred eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 263 294 357 476 526 588 714 789 833 1052 1428 1578 1666 1841 2499 3156 3332 3682 4471 4998 5523 7364 8861 8942 9996 11046 12887 13413 17722 17884 22092 25774 26583 26826 31297 35444 38661 51548 53166 53652 62027 62594 77322 93891 106332 124054 125188 150637 154644 186081 187782 219079 248108 301274 372162 375564 434189 438158 451911 602548 657237 744324 868378 876316 903822 1054459 1302567 1314474 1736756 1807644 2108918 2330443 2605134 2628948 3163377 4217836 4660886 5210268 6326754 6991329 7381213 9321772 12653508 13982658 14762426 16313101 22143639 27965316 29524852 32626202 39617531 44287278 48939303 65252404 79235062 88574556 97878606 114191707 118852593 158470124 195757212 228383414 237705186 277322717 342575121 456766828 475410372 554645434 685150242 831968151 1109290868 1370300484 1663936302 1941259019 3327872604 3882518038 5823777057 7765036076 11647554114 23295108228