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226289404752 = 243171132454119
BaseRepresentation
bin1101001010111111100…
…1100100101101010000
3210122002111102211002220
43102233321210231100
512201420041423002
6251542251141040
722230443126625
oct3225771445520
9718074384086
10226289404752
1187a72519094
1237a33a44780
1318453a20b88
14ad497cc34c
155d464427bc
hex34afe64b50

226289404752 has 80 divisors (see below), whose sum is σ = 624445925760. Its totient is φ = 70364471296.

The previous prime is 226289404739. The next prime is 226289404807. The reversal of 226289404752 is 257404982622.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 226289404695 and 226289404704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134852 + ... + 1319267.

It is an arithmetic number, because the mean of its divisors is an integer number (7805574072).

Almost surely, 2226289404752 is an apocalyptic number.

It is an amenable number.

226289404752 is an abundant number, since it is smaller than the sum of its proper divisors (398156521008).

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

226289404752 is a wasteful number, since it uses less digits than its factorization.

226289404752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454260 (or 2454254 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 226289404752 in words is "two hundred twenty-six billion, two hundred eighty-nine million, four hundred four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 113 136 204 226 272 339 408 452 678 816 904 1356 1808 1921 2712 3842 5424 5763 7684 11526 15368 23052 30736 46104 92208 2454119 4908238 7362357 9816476 14724714 19632952 29449428 39265904 41720023 58898856 83440046 117797712 125160069 166880092 250320138 277315447 333760184 500640276 554630894 667520368 831946341 1001280552 1109261788 1663892682 2002561104 2218523576 3327785364 4437047152 4714362599 6655570728 9428725198 13311141456 14143087797 18857450396 28286175594 37714900792 56572351188 75429801584 113144702376 226289404752