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216496033 = 13233123357
BaseRepresentation
bin11001110011101…
…11011110100001
3120002101010201121
430321313132201
5420410333113
633252132241
75236120525
oct1471673641
9502333647
10216496033
1110122a746
1260607081
1335b11880
1420a77d85
1514016e8d
hexce777a1

216496033 has 16 divisors (see below), whose sum is σ = 251145216. Its totient is φ = 184979520.

The previous prime is 216496019. The next prime is 216496057. The reversal of 216496033 is 330694612.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 216496033 - 25 = 216496001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216496033.

It is not an unprimeable number, because it can be changed into a prime (216496333) by changing a digit.

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, 2410 + ... + 20947.

It is an arithmetic number, because the mean of its divisors is an integer number (15696576).

Almost surely, 2216496033 is an apocalyptic number.

216496033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

216496033 is a deficient number, since it is larger than the sum of its proper divisors (34649183).

216496033 is a wasteful number, since it uses less digits than its factorization.

216496033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23424.

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 216496033 is about 14713.8041647971. The cubic root of 216496033 is about 600.4589386841.

The spelling of 216496033 in words is "two hundred sixteen million, four hundred ninety-six thousand, thirty-three".

Divisors: 1 13 23 31 299 403 713 9269 23357 303641 537211 724067 6983743 9412871 16653541 216496033