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216406152 = 23328593499
BaseRepresentation
bin11001110011000…
…01100010001000
3120002012120102200
430321201202020
5420344444102
633250200200
75235264504
oct1471414210
9502176380
10216406152
11101179166
1260583060
1335aac9a1
1420a53304
1513eea51c
hexce61888

216406152 has 48 divisors (see below), whose sum is σ = 586950000. Its totient is φ = 72030816.

The previous prime is 216406147. The next prime is 216406163. The reversal of 216406152 is 251604612.

216406152 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 615 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60099 + ... + 63597.

It is an arithmetic number, because the mean of its divisors is an integer number (12228125).

Almost surely, 2216406152 is an apocalyptic number.

It is an amenable number.

216406152 is an abundant number, since it is smaller than the sum of its proper divisors (370543848).

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

216406152 is a wasteful number, since it uses less digits than its factorization.

216406152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216406152 is about 14710.7495390276. The cubic root of 216406152 is about 600.3758312024.

The spelling of 216406152 in words is "two hundred sixteen million, four hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 859 1718 2577 3436 3499 5154 6872 6998 7731 10308 10497 13996 15462 20616 20994 27992 30924 31491 41988 61848 62982 83976 125964 251928 3005641 6011282 9016923 12022564 18033846 24045128 27050769 36067692 54101538 72135384 108203076 216406152