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216868950 = 23252677193
BaseRepresentation
bin11001110110100…
…10100001010110
3120010002002021100
430323102201112
5421004301300
633304130530
75242232664
oct1473224126
9503062240
10216868950
11101464941
1260766a46
1335c1252c
1420b33c34
151408c700
hexced2856

216868950 has 72 divisors (see below), whose sum is σ = 591433128. Its totient is φ = 56960640.

The previous prime is 216868937. The next prime is 216868987. The reversal of 216868950 is 59868612.

216868950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 216868896 and 216868905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26554 + ... + 33746.

It is an arithmetic number, because the mean of its divisors is an integer number (8214349).

Almost surely, 2216868950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216868950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295716564).

216868950 is an abundant number, since it is smaller than the sum of its proper divisors (374564178).

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

216868950 is a wasteful number, since it uses less digits than its factorization.

216868950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 216868950 is about 14726.4710640397. The cubic root of 216868950 is about 600.8035068143.

The spelling of 216868950 in words is "two hundred sixteen million, eight hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 67 75 90 134 150 201 225 335 402 450 603 670 1005 1206 1675 2010 3015 3350 5025 6030 7193 10050 14386 15075 21579 30150 35965 43158 64737 71930 107895 129474 179825 215790 323685 359650 481931 539475 647370 963862 1078950 1445793 1618425 2409655 2891586 3236850 4337379 4819310 7228965 8674758 12048275 14457930 21686895 24096550 36144825 43373790 72289650 108434475 216868950