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225656505426 = 231110153936277
BaseRepresentation
bin1101001000101000101…
…1010000010001010010
3210120110101112012110010
43102022023100101102
512144121031133201
6251355402015350
722205656435242
oct3221213202122
9716411465403
10225656505426
118777823a4a0
1237897aa7556
1318382876731
14acc971db22
155d0aac6bd6
hex348a2d0452

225656505426 has 64 divisors (see below), whose sum is σ = 497387558016. Its totient is φ = 67680384000.

The previous prime is 225656505409. The next prime is 225656505463. The reversal of 225656505426 is 624505656522.

It is a happy number.

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, 35946600 + ... + 35952876.

It is an arithmetic number, because the mean of its divisors is an integer number (7771680594).

Almost surely, 2225656505426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225656505426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248693779008).

225656505426 is an abundant number, since it is smaller than the sum of its proper divisors (271731052590).

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

225656505426 is a wasteful number, since it uses less digits than its factorization.

225656505426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787.

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 225656505426 in words is "two hundred twenty-five billion, six hundred fifty-six million, five hundred five thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 5393 6277 6666 10786 12554 16179 18831 32358 37662 59323 69047 118646 138094 177969 207141 355938 414282 544693 633977 1089386 1267954 1634079 1901931 3268158 3803862 5991623 6973747 11983246 13947494 17974869 20921241 33851861 35949738 41842482 67703722 101555583 203111166 372370471 744740942 1117111413 2234222826 3419037961 6838075922 10257113883 20514227766 37609417571 75218835142 112828252713 225656505426