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216363042 = 23371274507
BaseRepresentation
bin11001110010101…
…11000000100010
3120002010101022000
430321113000202
5420342104132
633245224430
75235025020
oct1471270042
9502111260
10216363042
11101149835
1260562116
1335a9618c
1420a41710
1513edc87c
hexce57022

216363042 has 64 divisors (see below), whose sum is σ = 553943040. Its totient is φ = 61317648.

The previous prime is 216363041. The next prime is 216363053. The reversal of 216363042 is 240363612.

216363042 is a `hidden beast` number, since 21 + 6 + 3 + 630 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 216362997 and 216363015.

It is not an unprimeable number, because it can be changed into a prime (216363041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45753 + ... + 50259.

It is an arithmetic number, because the mean of its divisors is an integer number (8655360).

Almost surely, 2216363042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216363042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276971520).

216363042 is an abundant number, since it is smaller than the sum of its proper divisors (337579998).

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

216363042 is a wasteful number, since it uses less digits than its factorization.

216363042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 216363042 is about 14709.2842110009. The cubic root of 216363042 is about 600.3359618476.

The spelling of 216363042 in words is "two hundred sixteen million, three hundred sixty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 254 378 381 762 889 1143 1778 2286 2667 3429 4507 5334 6858 8001 9014 13521 16002 24003 27042 31549 40563 48006 63098 81126 94647 121689 189294 243378 283941 567882 572389 851823 1144778 1703646 1717167 3434334 4006723 5151501 8013446 10303002 12020169 15454503 24040338 30909006 36060507 72121014 108181521 216363042