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216825796 = 221119419619
BaseRepresentation
bin11001110110001…
…11111111000100
3120002222220002001
430323013333010
5421001411141
633303155044
75241663115
oct1473077704
9502886061
10216825796
11101435480
1260745a84
1335bc89b5
1420b2220c
151407ea31
hexcec7fc4

216825796 has 48 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 92996640.

The previous prime is 216825787. The next prime is 216825821. The reversal of 216825796 is 697528612.

It is a super-2 number, since 2×2168257962 = 94026851622067232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349975 + ... + 350593.

It is an arithmetic number, because the mean of its divisors is an integer number (9114000).

Almost surely, 2216825796 is an apocalyptic number.

It is an amenable number.

216825796 is an abundant number, since it is smaller than the sum of its proper divisors (220646204).

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

216825796 is a wasteful number, since it uses less digits than its factorization.

216825796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 216825796 is about 14725.0058064505. The cubic root of 216825796 is about 600.7636535690.

The spelling of 216825796 in words is "two hundred sixteen million, eight hundred twenty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 419 619 836 838 1238 1676 2476 4609 6809 7961 9218 11761 13618 15922 18436 23522 27236 31844 47044 87571 129371 175142 258742 259361 350284 517484 518722 1037444 2852971 4927859 5705942 9855718 11411884 19711436 54206449 108412898 216825796