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1225268256 = 25312763211
BaseRepresentation
bin100100100001000…
…0001110000100000
310011101120002001210
41021002001300200
510002132041011
6321325430120
742235415442
oct11102016040
93141502053
101225268256
115796a51a3
122a240b340
13166b00804
14b8a2a492
157287c6a6
hex49081c20

1225268256 has 24 divisors (see below), whose sum is σ = 3216329424. Its totient is φ = 408422720.

The previous prime is 1225268249. The next prime is 1225268293. The reversal of 1225268256 is 6528625221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×12252682563 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6381510 + ... + 6381701.

It is an arithmetic number, because the mean of its divisors is an integer number (134013726).

Almost surely, 21225268256 is an apocalyptic number.

1225268256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1225268256 is an abundant number, since it is smaller than the sum of its proper divisors (1991061168).

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

1225268256 is a wasteful number, since it uses less digits than its factorization.

1225268256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763224 (or 12763216 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 1225268256 is about 35003.8320187947. The cubic root of 1225268256 is about 1070.0655784188.

It can be divided in two parts, 12252 and 68256, that added together give a palindrome (80508).

The spelling of 1225268256 in words is "one billion, two hundred twenty-five million, two hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12763211 25526422 38289633 51052844 76579266 102105688 153158532 204211376 306317064 408422752 612634128 1225268256