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226885776 = 243133137317
BaseRepresentation
bin11011000011000…
…00000010010000
3120210220222202220
431201200002100
5431040321101
634302541040
75423332365
oct1541400220
9523828686
10226885776
11107086707
1263b97780
133800b950
14221c046c
1514dba636
hexd860090

226885776 has 160 divisors (see below), whose sum is σ = 671290368. Its totient is φ = 65525760.

The previous prime is 226885751. The next prime is 226885787. The reversal of 226885776 is 677588622.

It is a happy number.

It is a super-2 number, since 2×2268857762 = 102954310702244352, which contains 22 as substring.

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, 715570 + ... + 715886.

Almost surely, 2226885776 is an apocalyptic number.

226885776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226885776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335645184).

226885776 is an abundant number, since it is smaller than the sum of its proper divisors (444404592).

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

226885776 is a wasteful number, since it uses less digits than its factorization.

226885776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 226885776 is about 15062.7280397676. The cubic root of 226885776 is about 609.9146848344.

The spelling of 226885776 in words is "two hundred twenty-six million, eight hundred eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 37 39 48 52 62 74 78 93 104 111 124 148 156 186 208 222 248 296 312 317 372 403 444 481 496 592 624 634 744 806 888 951 962 1147 1209 1268 1443 1488 1612 1776 1902 1924 2294 2418 2536 2886 3224 3441 3804 3848 4121 4588 4836 5072 5772 6448 6882 7608 7696 8242 9176 9672 9827 11544 11729 12363 13764 14911 15216 16484 18352 19344 19654 23088 23458 24726 27528 29481 29822 32968 35187 39308 44733 46916 49452 55056 58962 59644 65936 70374 78616 89466 93832 98904 117924 119288 127751 140748 152477 157232 178932 187664 197808 235848 238576 255502 281496 304954 357864 363599 383253 457431 471696 511004 562992 609908 715728 727198 766506 914862 1022008 1090797 1219816 1454396 1533012 1829724 2044016 2181594 2439632 2908792 3066024 3659448 4363188 4726787 5817584 6132048 7318896 8726376 9453574 14180361 17452752 18907148 28360722 37814296 56721444 75628592 113442888 226885776