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99243144 = 23367111317
BaseRepresentation
bin1011110101001…
…01010010001000
320220202002000000
411322211102020
5200401240034
613503043000
72313360420
oct572452210
9226662000
1099243144
1151024930
12292a0460
131773a170
14d275480
158aa5599
hex5ea5488

99243144 has 448 divisors, whose sum is σ = 396627840. Its totient is φ = 22394880.

The previous prime is 99243119. The next prime is 99243163. The reversal of 99243144 is 44134299.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (31104) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 99243099 and 99243108.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837824 + ... + 5837840.

It is an arithmetic number, because the mean of its divisors is an integer number (885330).

Almost surely, 299243144 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 99243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313920).

99243144 is an abundant number, since it is smaller than the sum of its proper divisors (297384696).

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

99243144 is a wasteful number, since it uses less digits than its factorization.

99243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 99243144 is about 9962.0853238667. The cubic root of 99243144 is about 462.9849118168.

The spelling of 99243144 in words is "ninety-nine million, two hundred forty-three thousand, one hundred forty-four".