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22661744640 = 21135737687
BaseRepresentation
bin10101000110101111…
…101100100000000000
32011111100001220110120
4111012233230200000
5332402401312030
614224411500240
71431402436233
oct250657544000
964440056416
1022661744640
119679a67187
124485457680
1321a1c88972
14114d9db41a
158c9796010
hex546bec800

22661744640 has 96 divisors (see below), whose sum is σ = 72499976640. Its totient is φ = 6043123712.

The previous prime is 22661744597. The next prime is 22661744647. The reversal of 22661744640 is 4644716622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 22661744592 and 22661744601.

It is not an unprimeable number, because it can be changed into a prime (22661744647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338124 + ... + 399563.

It is an arithmetic number, because the mean of its divisors is an integer number (755208090).

Almost surely, 222661744640 is an apocalyptic number.

22661744640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22661744640 is an abundant number, since it is smaller than the sum of its proper divisors (49838232000).

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

22661744640 is an equidigital number, since it uses as much as digits as its factorization.

22661744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737717 (or 737697 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 22661744640 in words is "twenty-two billion, six hundred sixty-one million, seven hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 737687 1475374 2213061 2950748 3688435 4426122 5901496 7376870 8852244 11065305 11802992 14753740 17704488 22130610 23605984 29507480 35408976 44261220 47211968 59014960 70817952 88522440 94423936 118029920 141635904 177044880 188847872 236059840 283271808 354089760 377695744 472119680 566543616 708179520 755391488 944239360 1133087232 1416359040 1510782976 1888478720 2266174464 2832718080 3776957440 4532348928 5665436160 7553914880 11330872320 22661744640