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22890048 = 263294111
BaseRepresentation
bin101011101010…
…0011001000000
31121001221020120
41113110121000
521324440143
62134340240
7365363556
oct127243100
947057216
1022890048
1111a146a5
1277ba680
134985a0c
14307bbd6
152022383
hex15d4640

22890048 has 56 divisors (see below), whose sum is σ = 62666880. Its totient is φ = 7365120.

The previous prime is 22890031. The next prime is 22890073. The reversal of 22890048 is 84009822.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3513 + ... + 7623.

Almost surely, 222890048 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 22890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31333440).

22890048 is an abundant number, since it is smaller than the sum of its proper divisors (39776832).

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

22890048 is a wasteful number, since it uses less digits than its factorization.

22890048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4155 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 22890048 is about 4784.3545019156. The cubic root of 22890048 is about 283.9328016638.

The spelling of 22890048 in words is "twenty-two million, eight hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 4111 5568 8222 12333 16444 24666 32888 49332 65776 98664 119219 131552 197328 238438 263104 357657 394656 476876 715314 789312 953752 1430628 1907504 2861256 3815008 5722512 7630016 11445024 22890048