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22463000120 = 2351174368711
BaseRepresentation
bin10100111010111001…
…100010111000111000
32010222111002122020102
4110322321202320320
5332001012000440
614152552014532
71423440231161
oct247271427070
963874078212
1022463000120
119587861510
12442a991448
13216ca50c62
141131464768
158b70d8b15
hex53ae62e38

22463000120 has 64 divisors (see below), whose sum is σ = 55211466240. Its totient is φ = 8157251200.

The previous prime is 22463000069. The next prime is 22463000149. The reversal of 22463000120 is 2100036422.

It is a super-2 number, since 2×224630001202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22463000092 and 22463000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292565 + ... + 361275.

It is an arithmetic number, because the mean of its divisors is an integer number (862679160).

Almost surely, 222463000120 is an apocalyptic number.

22463000120 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 22463000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27605733120).

22463000120 is an abundant number, since it is smaller than the sum of its proper divisors (32748466120).

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

22463000120 is a wasteful number, since it uses less digits than its factorization.

22463000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69476 (or 69472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22463000120 its reverse (2100036422), we get a palindrome (24563036542).

The spelling of 22463000120 in words is "twenty-two billion, four hundred sixty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 743 1486 2972 3715 5944 7430 8173 14860 16346 29720 32692 40865 65384 68711 81730 137422 163460 274844 326920 343555 549688 687110 755821 1374220 1511642 2748440 3023284 3779105 6046568 7558210 15116420 30232840 51052273 102104546 204209092 255261365 408418184 510522730 561575003 1021045460 1123150006 2042090920 2246300012 2807875015 4492600024 5615750030 11231500060 22463000120