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10226420256 = 253138194247
BaseRepresentation
bin10011000011000101…
…01100101000100000
3222101200210222022210
421201202230220200
5131420430422011
64410431402120
7511264065213
oct114142545040
928350728283
1010226420256
114378602998
121b94983340
13c6c895260
146d026177a
153ecbd56a6
hex2618aca20

10226420256 has 48 divisors (see below), whose sum is σ = 28909306944. Its totient is φ = 3146590464.

The previous prime is 10226420251. The next prime is 10226420279. The reversal of 10226420256 is 65202462201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10226420251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4095876 + ... + 4098371.

It is an arithmetic number, because the mean of its divisors is an integer number (602277228).

Almost surely, 210226420256 is an apocalyptic number.

10226420256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10226420256 is an abundant number, since it is smaller than the sum of its proper divisors (18682886688).

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

10226420256 is a wasteful number, since it uses less digits than its factorization.

10226420256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194273 (or 8194265 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10226420256 its reverse (65202462201), we get a palindrome (75428882457).

The spelling of 10226420256 in words is "ten billion, two hundred twenty-six million, four hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 8194247 16388494 24582741 32776988 49165482 65553976 98330964 106525211 131107952 196661928 213050422 262215904 319575633 393323856 426100844 639151266 786647712 852201688 1278302532 1704403376 2556605064 3408806752 5113210128 10226420256