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23065224 = 23371359179
BaseRepresentation
bin101011111111…
…1001010001000
31121101211112120
41113333022020
521401041344
62142211240
7400023360
oct127771210
947354476
1023065224
1112024276
127883b20
134a17680
1430c59a0
152059219
hex15ff288

23065224 has 128 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 5946624.

The previous prime is 23065223. The next prime is 23065249. The reversal of 23065224 is 42256032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23065194 and 23065203.

It is not an unprimeable number, because it can be changed into a prime (23065223) 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, 128767 + ... + 128945.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 223065224 is an apocalyptic number.

23065224 is a gapful number since it is divisible by the number (24) 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 23065224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

23065224 is an abundant number, since it is smaller than the sum of its proper divisors (49510776).

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

23065224 is a wasteful number, since it uses less digits than its factorization.

23065224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 23065224 is about 4802.6267812521. The cubic root of 23065224 is about 284.6552680113.

The spelling of 23065224 in words is "twenty-three million, sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 59 78 84 91 104 118 156 168 177 179 182 236 273 312 354 358 364 413 472 537 546 708 716 728 767 826 1074 1092 1239 1253 1416 1432 1534 1652 2148 2184 2301 2327 2478 2506 3068 3304 3759 4296 4602 4654 4956 5012 5369 6136 6981 7518 9204 9308 9912 10024 10561 10738 13962 15036 16107 16289 18408 18616 21122 21476 27924 30072 31683 32214 32578 42244 42952 48867 55848 63366 64428 65156 73927 84488 97734 126732 128856 130312 137293 147854 195468 221781 253464 274586 295708 390936 411879 443562 549172 591416 823758 887124 961051 1098344 1647516 1774248 1922102 2883153 3295032 3844204 5766306 7688408 11532612 23065224