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2257022016 = 263323109521
BaseRepresentation
bin1000011010000111…
…0110110001000000
312211021222121011000
42012201312301000
514110244201031
61011543452000
7106634241054
oct20641666100
95737877130
102257022016
11a59037057
1252ba57000
1329c7a7cb2
14175a81c64
15d32323e6
hex86876c40

2257022016 has 224 divisors, whose sum is σ = 7000646400. Its totient is φ = 711659520.

The previous prime is 2257021999. The next prime is 2257022041. The reversal of 2257022016 is 6102207522.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4331836 + ... + 4332356.

Almost surely, 22257022016 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 2257022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500323200).

2257022016 is an abundant number, since it is smaller than the sum of its proper divisors (4743624384).

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

2257022016 is a wasteful number, since it uses less digits than its factorization.

2257022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2257022016 is about 47508.1257891742. The cubic root of 2257022016 is about 1311.7324583360.

Adding to 2257022016 its reverse (6102207522), we get a palindrome (8359229538).

The spelling of 2257022016 in words is "two billion, two hundred fifty-seven million, twenty-two thousand, sixteen".