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22313625456 = 2431134399371
BaseRepresentation
bin10100110001111111…
…101110011101110000
32010121002000121201110
4110301333232131300
5331144242003311
614130054233320
71416644454423
oct246177563560
963532017643
1022313625456
119510507081
1243a8955840
132147b10895
14111969d9ba
158a8e2e8a6
hex531fee770

22313625456 has 80 divisors (see below), whose sum is σ = 58292340480. Its totient is φ = 7354475520.

The previous prime is 22313625449. The next prime is 22313625461. The reversal of 22313625456 is 65452631322.

It is a super-3 number, since 3×223136254563 (a number of 32 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 15 ways as a sum of consecutive naturals, for example, 2376451 + ... + 2385821.

It is an arithmetic number, because the mean of its divisors is an integer number (728654256).

Almost surely, 222313625456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313625456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29146170240).

22313625456 is an abundant number, since it is smaller than the sum of its proper divisors (35978715024).

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

22313625456 is a wasteful number, since it uses less digits than its factorization.

22313625456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9928 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The spelling of 22313625456 in words is "twenty-two billion, three hundred thirteen million, six hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 439 452 678 878 904 1317 1356 1756 1808 2634 2712 3512 5268 5424 7024 9371 10536 18742 21072 28113 37484 49607 56226 74968 99214 112452 148821 149936 198428 224904 297642 396856 449808 595284 793712 1058923 1190568 2117846 2381136 3176769 4113869 4235692 6353538 8227738 8471384 12341607 12707076 16455476 16942768 24683214 25414152 32910952 49366428 50828304 65821904 98732856 197465712 464867197 929734394 1394601591 1859468788 2789203182 3718937576 5578406364 7437875152 11156812728 22313625456