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22495923450 = 234527111331179
BaseRepresentation
bin10100111100110111…
…001000110011111010
32011001210001022120000
4110330313020303322
5332032424022300
614200125413430
71424320123440
oct247467106372
964053038500
1022495923450
1195a43a9280
124439a0a276
13217680a710
141135994b90
158b9e3dc00
hex53cdc8cfa

22495923450 has 960 divisors, whose sum is σ = 87114424320. Its totient is φ = 4152384000.

The previous prime is 22495923431. The next prime is 22495923479. The reversal of 22495923450 is 5432959422.

22495923450 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 592 + 3 + 4 + 50 = 666.

It is a super-3 number, since 3×224959234503 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 22495923396 and 22495923405.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 125675461 + ... + 125675639.

It is an arithmetic number, because the mean of its divisors is an integer number (90744192).

Almost surely, 222495923450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22495923450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43557212160).

22495923450 is an abundant number, since it is smaller than the sum of its proper divisors (64618500870).

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

22495923450 is a wasteful number, since it uses less digits than its factorization.

22495923450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 22495923450 in words is "twenty-two billion, four hundred ninety-five million, nine hundred twenty-three thousand, four hundred fifty".