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216395046 = 232712713523
BaseRepresentation
bin11001110010111…
…10110100100110
3120002012000012100
430321132310212
5420344120141
633250032530
75235220230
oct1471366446
9502160170
10216395046
1110117088a
1260578746
1335aa790a
1420a4d250
1513ee70b6
hexce5ed26

216395046 has 48 divisors (see below), whose sum is σ = 540094464. Its totient is φ = 61335792.

The previous prime is 216395033. The next prime is 216395083. The reversal of 216395046 is 640593612.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216395046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9241 + ... + 22763.

It is an arithmetic number, because the mean of its divisors is an integer number (11251968).

Almost surely, 2216395046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216395046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270047232).

216395046 is an abundant number, since it is smaller than the sum of its proper divisors (323699418).

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

216395046 is a wasteful number, since it uses less digits than its factorization.

216395046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13665 (or 13662 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 216395046 is about 14710.3720551181. The cubic root of 216395046 is about 600.3655605639.

The spelling of 216395046 in words is "two hundred sixteen million, three hundred ninety-five thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 13523 16002 27046 40569 81138 94661 121707 189322 243414 283983 567966 851949 1703898 1717421 3434842 5152263 10304526 12021947 15456789 24043894 30913578 36065841 72131682 108197523 216395046