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2226059256 = 233297974013
BaseRepresentation
bin1000010010101110…
…1111011111111000
312202010201112020010
42010223233133320
514024332344011
61004520101520
7106110122451
oct20453573770
95663645203
102226059256
11a426092a3
125216048a0
13296256a35
14171902128
15d06681a6
hex84aef7f8

2226059256 has 64 divisors (see below), whose sum is σ = 5765709600. Its totient is φ = 715355648.

The previous prime is 2226059249. The next prime is 2226059257. The reversal of 2226059256 is 6529506222.

It is a happy number.

It is a super-2 number, since 2×22260592562 = 9910679622446547072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226059257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552706 + ... + 556718.

Almost surely, 22226059256 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 2226059256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882854800).

2226059256 is an abundant number, since it is smaller than the sum of its proper divisors (3539650344).

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

2226059256 is a wasteful number, since it uses less digits than its factorization.

2226059256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 2226059256 is about 47181.1324154052. The cubic root of 2226059256 is about 1305.7065224881.

The spelling of 2226059256 in words is "two billion, two hundred twenty-six million, fifty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 797 1594 2391 3188 4013 4782 6376 8026 9564 12039 16052 19128 23113 24078 32104 46226 48156 69339 92452 96312 116377 138678 184904 232754 277356 349131 465508 554712 698262 931016 1396524 2793048 3198361 6396722 9595083 12793444 19190166 25586888 38380332 76760664 92752469 185504938 278257407 371009876 556514814 742019752 1113029628 2226059256