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22681944072 = 2332177492
BaseRepresentation
bin10101000111111100…
…110000000000001000
32011112202002010212200
4111013330300000020
5332423034202242
614230412440200
71432036225554
oct250774600010
964482063780
1022681944072
11968a403327
124490179060
1321a620baa8
141152578864
158cb43604c
hex547f30008

22681944072 has 36 divisors (see below), whose sum is σ = 61433726445. Its totient is φ = 7560222048.

The previous prime is 22681944049. The next prime is 22681944073. The reversal of 22681944072 is 27044918622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22681944072 is a `hidden beast` number, since 226 + 8 + 19 + 4 + 407 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16673523876 + 6008420196 = 129126^2 + 77514^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106494.

It is not an unprimeable number, because it can be changed into a prime (22681944073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1269054 + ... + 1286802.

Almost surely, 222681944072 is an apocalyptic number.

It is an amenable number.

22681944072 is an abundant number, since it is smaller than the sum of its proper divisors (38751782373).

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

22681944072 is an frugal number, since it uses more digits than its factorization.

22681944072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35510 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22681944072 in words is "twenty-two billion, six hundred eighty-one million, nine hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17749 35498 53247 70996 106494 141992 159741 212988 319482 425976 638964 1277928 315027001 630054002 945081003 1260108004 1890162006 2520216008 2835243009 3780324012 5670486018 7560648024 11340972036 22681944072