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216854764 = 22723834057
BaseRepresentation
bin11001110110011…
…11000011101100
3120010001100210221
430323033003230
5421003323024
633303541124
75242143430
oct1473170354
9503040727
10216854764
11101455215
126075a7a4
1335c08c39
1420b2c9c0
15140883e4
hexcecf0ec

216854764 has 48 divisors (see below), whose sum is σ = 458131968. Its totient is φ = 87804288.

The previous prime is 216854723. The next prime is 216854773. The reversal of 216854764 is 467458612.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216854764.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51424 + ... + 55480.

It is an arithmetic number, because the mean of its divisors is an integer number (9544416).

Almost surely, 2216854764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216854764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229065984).

216854764 is an abundant number, since it is smaller than the sum of its proper divisors (241277204).

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

216854764 is a wasteful number, since it uses less digits than its factorization.

216854764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4172 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 216854764 is about 14725.9894064881. The cubic root of 216854764 is about 600.7904064537.

The spelling of 216854764 in words is "two hundred sixteen million, eight hundred fifty-four thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 83 92 161 166 322 332 581 644 1162 1909 2324 3818 4057 7636 8114 13363 16228 26726 28399 53452 56798 93311 113596 186622 336731 373244 653177 673462 1306354 1346924 2357117 2612708 4714234 7744813 9428468 15489626 30979252 54213691 108427382 216854764