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22455313853760 = 263455563155731
BaseRepresentation
bin1010001101100010010010…
…00000010110110101000000
32221111201002102122122020000
411012301021000112311000
510420401440321310020
6115431455003120000
74505225416310514
oct506611100266500
987451072578200
1022455313853760
117178277297247
122627ba7213000
13c6b6b0ac3508
14578bb3240144
1528e1aa8a2090
hex146c49016d40

22455313853760 has 280 divisors, whose sum is σ = 79892373571296. Its totient is φ = 5986968837120.

The previous prime is 22455313853639. The next prime is 22455313853771. The reversal of 22455313853760 is 6735831355422.

22455313853760 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 531 + 38 + 5 + 3 + 76 + 0 = 666.

It is a super-2 number, since 2×224553138537602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22455313853697 and 22455313853706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144115095 + ... + 144270825.

Almost surely, 222455313853760 is an apocalyptic number.

22455313853760 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 22455313853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39946186785648).

22455313853760 is an abundant number, since it is smaller than the sum of its proper divisors (57437059717536).

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

22455313853760 is a wasteful number, since it uses less digits than its factorization.

22455313853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161323 (or 161304 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 22455313853760 in words is "twenty-two trillion, four hundred fifty-five billion, three hundred thirteen million, eight hundred fifty-three thousand, seven hundred sixty".