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22199904 = 2532194057
BaseRepresentation
bin101010010101…
…1111001100000
31112202212112200
41110223321200
521140344104
62111453200
7356460516
oct124537140
945685480
1022199904
1111593131
127527200
1347a384c
142d3c4b6
151e37b39
hex152be60

22199904 has 72 divisors (see below), whose sum is σ = 66470040. Its totient is φ = 7008768.

The previous prime is 22199887. The next prime is 22199929. The reversal of 22199904 is 40999122.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444 + ... + 7500.

It is an arithmetic number, because the mean of its divisors is an integer number (923195).

Almost surely, 222199904 is an apocalyptic number.

22199904 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 22199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33235020).

22199904 is an abundant number, since it is smaller than the sum of its proper divisors (44270136).

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

22199904 is a wasteful number, since it uses less digits than its factorization.

22199904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 22199904 is about 4711.6774083122. The cubic root of 22199904 is about 281.0500706527.

The spelling of 22199904 in words is "twenty-two million, one hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4057 5472 8114 12171 16228 24342 32456 36513 48684 64912 73026 77083 97368 129824 146052 154166 194736 231249 292104 308332 389472 462498 584208 616664 693747 924996 1168416 1233328 1387494 1849992 2466656 2774988 3699984 5549976 7399968 11099952 22199904