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23015772 = 223313397
BaseRepresentation
bin101011111001…
…1000101011100
31121022022201000
41113303011130
521343001042
62141150300
7366426243
oct127630534
947268630
1023015772
1111aa00aa
12785b390
1349cb000
1430b195a
15204974c
hex15f315c

23015772 has 96 divisors (see below), whose sum is σ = 65307200. Its totient is φ = 7008768.

The previous prime is 23015767. The next prime is 23015777. The reversal of 23015772 is 27751032.

It is an interprime number because it is at equal distance from previous prime (23015767) and next prime (23015777).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23015777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237228 + ... + 237324.

Almost surely, 223015772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23015772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32653600).

23015772 is an abundant number, since it is smaller than the sum of its proper divisors (42291428).

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

23015772 is a wasteful number, since it uses less digits than its factorization.

23015772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 23015772 is about 4797.4755861807. The cubic root of 23015772 is about 284.4516881610.

The spelling of 23015772 in words is "twenty-three million, fifteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 97 108 117 156 169 194 234 291 338 351 388 468 507 582 676 702 873 1014 1164 1261 1404 1521 1746 2028 2197 2522 2619 3042 3492 3783 4394 4563 5044 5238 6084 6591 7566 8788 9126 10476 11349 13182 15132 16393 18252 19773 22698 26364 32786 34047 39546 45396 49179 59319 65572 68094 79092 98358 118638 136188 147537 196716 213109 237276 295074 426218 442611 590148 639327 852436 885222 1278654 1770444 1917981 2557308 3835962 5753943 7671924 11507886 23015772