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23101936 = 24111323439
BaseRepresentation
bin101100000100…
…0000111110000
31121110200220021
41120020013300
521403230221
62143053224
7400235404
oct130100760
947420807
1023101936
1112049910
1278a1214
134a2b2b0
1430d5104
152065041
hex16081f0

23101936 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 9250560.

The previous prime is 23101933. The next prime is 23101999. The reversal of 23101936 is 63910132.

It is a self number, because there is not a number n which added to its sum of digits gives 23101936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23101931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52405 + ... + 52843.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 223101936 is an apocalyptic number.

23101936 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 23101936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

23101936 is an abundant number, since it is smaller than the sum of its proper divisors (31894544).

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

23101936 is a wasteful number, since it uses less digits than its factorization.

23101936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 23101936 is about 4806.4473366511. The cubic root of 23101936 is about 284.8062127795.

The spelling of 23101936 in words is "twenty-three million, one hundred one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 176 184 208 253 286 299 368 439 506 572 598 878 1012 1144 1196 1756 2024 2288 2392 3289 3512 4048 4784 4829 5707 6578 7024 9658 10097 11414 13156 19316 20194 22828 26312 38632 40388 45656 52624 62777 77264 80776 91312 111067 125554 131261 161552 222134 251108 262522 444268 502216 525044 888536 1004432 1050088 1443871 1777072 2100176 2887742 5775484 11550968 23101936