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216340488 = 233272135389
BaseRepresentation
bin11001110010100…
…01100000001000
3120002002020100200
430321101200020
5420340343423
633244532200
75234602200
oct1471214010
9502066320
10216340488
111011338a1
1260551060
1335a88b30
1420a37400
1513ed5d43
hexce51808

216340488 has 288 divisors, whose sum is σ = 756264600. Its totient is φ = 55351296.

The previous prime is 216340469. The next prime is 216340489. The reversal of 216340488 is 884043612.

It can be written as a sum of positive squares in 4 ways, for example, as 139287204 + 77053284 = 11802^2 + 8778^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216340489) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2430748 + ... + 2430836.

Almost surely, 2216340488 is an apocalyptic number.

216340488 is a gapful number since it is divisible by the number (28) 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 216340488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378132300).

216340488 is an abundant number, since it is smaller than the sum of its proper divisors (539924112).

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

216340488 is a wasteful number, since it uses less digits than its factorization.

216340488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 216340488 is about 14708.5175323688. The cubic root of 216340488 is about 600.3151011565.

The spelling of 216340488 in words is "two hundred sixteen million, three hundred forty thousand, four hundred eighty-eight".