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22225006496 = 2571119653727
BaseRepresentation
bin10100101100101101…
…101010111110100000
32010100220021022100202
4110230231222332200
5331004100201441
614113211004332
71414520303210
oct245455527640
963326238322
1022225006496
119475489370
1243831396a8
132132653424
14110b9d2240
158a127719b
hex52cb6afa0

22225006496 has 192 divisors, whose sum is σ = 57590507520. Its totient is φ = 8179522560.

The previous prime is 22225006429. The next prime is 22225006511. The reversal of 22225006496 is 69460052222.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30570485 + ... + 30571211.

It is an arithmetic number, because the mean of its divisors is an integer number (299950560).

Almost surely, 222225006496 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 22225006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28795253760).

22225006496 is an abundant number, since it is smaller than the sum of its proper divisors (35365501024).

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

22225006496 is a wasteful number, since it uses less digits than its factorization.

22225006496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 22225006496 in words is "twenty-two billion, two hundred twenty-five million, six thousand, four hundred ninety-six".