Search a number
-
+
216674220 = 223573773191
BaseRepresentation
bin11001110101000…
…10111110101100
3120002201012011010
430322202332230
5420432033340
633300025220
75240462160
oct1472427654
9502635133
10216674220
11101341604
1260692210
1335b749c9
1420ac2ca0
151404eb80
hexcea2fac

216674220 has 192 divisors, whose sum is σ = 725630976. Its totient is φ = 47278080.

The previous prime is 216674201. The next prime is 216674243. The reversal of 216674220 is 22476612.

It is a super-2 number, since 2×2166742202 = 93895435225216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1134325 + ... + 1134515.

It is an arithmetic number, because the mean of its divisors is an integer number (3779328).

Almost surely, 2216674220 is an apocalyptic number.

216674220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216674220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362815488).

216674220 is an abundant number, since it is smaller than the sum of its proper divisors (508956756).

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

216674220 is a wasteful number, since it uses less digits than its factorization.

216674220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 216674220 is about 14719.8580156196. The cubic root of 216674220 is about 600.6236293639.

The spelling of 216674220 in words is "two hundred sixteen million, six hundred seventy-four thousand, two hundred twenty".