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22465248 = 2531347383
BaseRepresentation
bin101010110110…
…0101011100000
31120021100112020
41111230223200
521222341443
62121301440
7361644231
oct125545340
946240466
1022465248
1111754523
127634880
134867560
142dab088
151e8b583
hex156cae0

22465248 has 96 divisors (see below), whose sum is σ = 65028096. Its totient is φ = 6747648.

The previous prime is 22465237. The next prime is 22465249. The reversal of 22465248 is 84256422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22465249) 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, 58465 + ... + 58847.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 222465248 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 22465248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048).

22465248 is an abundant number, since it is smaller than the sum of its proper divisors (42562848).

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

22465248 is a wasteful number, since it uses less digits than its factorization.

22465248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 22465248 is about 4739.7518922408. The cubic root of 22465248 is about 282.1653876179.

The spelling of 22465248 in words is "twenty-two million, four hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 94 96 104 141 156 188 208 282 312 376 383 416 564 611 624 752 766 1128 1149 1222 1248 1504 1532 1833 2256 2298 2444 3064 3666 4512 4596 4888 4979 6128 7332 9192 9776 9958 12256 14664 14937 18001 18384 19552 19916 29328 29874 36002 36768 39832 54003 58656 59748 72004 79664 108006 119496 144008 159328 216012 234013 238992 288016 432024 468026 477984 576032 702039 864048 936052 1404078 1728096 1872104 2808156 3744208 5616312 7488416 11232624 22465248