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226676688 = 24371935507
BaseRepresentation
bin11011000001011…
…00111111010000
3120210112100221220
431200230333100
5431012123223
634254245040
75421501660
oct1540547720
9523470856
10226676688
11106a53607
1263ab6780
1337c67724
14221681a0
1514d786e3
hexd82cfd0

226676688 has 80 divisors (see below), whose sum is σ = 704478720. Its totient is φ = 61354368.

The previous prime is 226676683. The next prime is 226676711. The reversal of 226676688 is 886676622.

It is a happy number.

226676688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 226676688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226676683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11370 + ... + 24137.

It is an arithmetic number, because the mean of its divisors is an integer number (8805984).

Almost surely, 2226676688 is an apocalyptic number.

226676688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226676688 is an abundant number, since it is smaller than the sum of its proper divisors (477802032).

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

226676688 is a wasteful number, since it uses less digits than its factorization.

226676688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35544 (or 35538 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 226676688 is about 15055.7858645771. The cubic root of 226676688 is about 609.7272703594.

The spelling of 226676688 in words is "two hundred twenty-six million, six hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 35507 71014 106521 142028 213042 248549 284056 426084 497098 568112 674633 745647 852168 994196 1349266 1491294 1704336 1988392 2023899 2698532 2982588 3976784 4047798 4722431 5397064 5965176 8095596 9444862 10794128 11930352 14167293 16191192 18889724 28334586 32382384 37779448 56669172 75558896 113338344 226676688