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22945104 = 243271317103
BaseRepresentation
bin101011110000…
…1110101010000
31121011201202200
41113201311100
521333220404
62135443200
7366013230
oct127416520
947151680
1022945104
1111a51aa6
127826500
1349a4ab0
143093cc0
152033839
hex15e1d50

22945104 has 240 divisors, whose sum is σ = 84494592. Its totient is φ = 5640192.

The previous prime is 22945093. The next prime is 22945127. The reversal of 22945104 is 40154922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222717 + ... + 222819.

Almost surely, 222945104 is an apocalyptic number.

22945104 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 22945104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42247296).

22945104 is an abundant number, since it is smaller than the sum of its proper divisors (61549488).

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

22945104 is a wasteful number, since it uses less digits than its factorization.

22945104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22945104 is about 4790.1048005237. The cubic root of 22945104 is about 284.1602613295.

The spelling of 22945104 in words is "twenty-two million, nine hundred forty-five thousand, one hundred four".