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22896048 = 243783821
BaseRepresentation
bin101011101010…
…1110110110000
31121002020110210
41113111312300
521330133143
62134424120
7365420220
oct127256660
947066423
1022896048
1111a1915a
127802040
134988676
143080080
152024033
hex15d5db0

22896048 has 80 divisors (see below), whose sum is σ = 68495616. Its totient is φ = 6455040.

The previous prime is 22896023. The next prime is 22896061. The reversal of 22896048 is 84069822.

It is a junction number, because it is equal to n+sod(n) for n = 22895997 and 22896015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27478 + ... + 28298.

Almost surely, 222896048 is an apocalyptic number.

22896048 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 22896048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34247808).

22896048 is an abundant number, since it is smaller than the sum of its proper divisors (45599568).

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

22896048 is a wasteful number, since it uses less digits than its factorization.

22896048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 22896048 is about 4784.9815046664. The cubic root of 22896048 is about 283.9576079025.

The spelling of 22896048 in words is "twenty-two million, eight hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 821 996 1162 1328 1642 1743 1992 2324 2463 3284 3486 3984 4648 4926 5747 6568 6972 9296 9852 11494 13136 13944 17241 19704 22988 27888 34482 39408 45976 68143 68964 91952 136286 137928 204429 272572 275856 408858 477001 545144 817716 954002 1090288 1431003 1635432 1908004 2862006 3270864 3816008 5724012 7632016 11448024 22896048