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22323920 = 2451731613
BaseRepresentation
bin101010100101…
…0001011010000
31120000011122212
41111022023100
521203331140
62114251252
7360515213
oct125121320
946004585
1022323920
1111668323
127586b28
134818128
142d7177a
151e5e765
hex154a2d0

22323920 has 40 divisors (see below), whose sum is σ = 52235496. Its totient is φ = 8872448.

The previous prime is 22323893. The next prime is 22323943. The reversal of 22323920 is 2932322.

It can be written as a sum of positive squares in 4 ways, for example, as 7639696 + 14684224 = 2764^2 + 3832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×223239203 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

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, 13034 + ... + 14646.

Almost surely, 222323920 is an apocalyptic number.

22323920 is a gapful number since it is divisible by the number (20) 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 22323920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26117748).

22323920 is an abundant number, since it is smaller than the sum of its proper divisors (29911576).

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

22323920 is a wasteful number, since it uses less digits than its factorization.

22323920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 22323920 is about 4724.8195732747. The cubic root of 22323920 is about 281.5724453281.

The spelling of 22323920 in words is "twenty-two million, three hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1613 1730 2768 3226 3460 6452 6920 8065 12904 13840 16130 25808 32260 64520 129040 279049 558098 1116196 1395245 2232392 2790490 4464784 5580980 11161960 22323920