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226772217 = 37714813
BaseRepresentation
bin11011000010001…
…00010011111001
3120210201020000000
431201010103321
5431023202332
634300303213
75422350330
oct1541042371
9523636000
10226772217
11107009361
1263b41b09
1337c9c059
1422190d17
1514d96b7c
hexd8444f9

226772217 has 32 divisors (see below), whose sum is σ = 388719360. Its totient is φ = 129575376.

The previous prime is 226772209. The next prime is 226772233. The reversal of 226772217 is 712277622.

It is not a de Polignac number, because 226772217 - 23 = 226772209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (226772417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7903 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (12147480).

Almost surely, 2226772217 is an apocalyptic number.

226772217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

226772217 is a deficient number, since it is larger than the sum of its proper divisors (161947143).

226772217 is an frugal number, since it uses more digits than its factorization.

226772217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841 (or 14823 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 226772217 is about 15058.9580316833. The cubic root of 226772217 is about 609.8129113613.

The spelling of 226772217 in words is "two hundred twenty-six million, seven hundred seventy-two thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 14813 15309 44439 103691 133317 311073 399951 933219 1199853 2799657 3599559 8398971 10798677 25196913 32396031 75590739 226772217