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2238916680 = 233357111319109
BaseRepresentation
bin1000010101110011…
…0010100001001000
312210000220202022000
42011130302201020
514041130313210
61010055431000
7106324322610
oct20534624110
95700822260
102238916680
11a498a0270
12525985460
13298b09090
141734cba40
15d1857ac0
hex85732848

2238916680 has 1024 divisors, whose sum is σ = 10644480000. Its totient is φ = 403107840.

The previous prime is 2238916651. The next prime is 2238916681. The reversal of 2238916680 is 866198322.

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

It is not an unprimeable number, because it can be changed into a prime (2238916681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20540466 + ... + 20540574.

It is an arithmetic number, because the mean of its divisors is an integer number (10395000).

Almost surely, 22238916680 is an apocalyptic number.

2238916680 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 2238916680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240000).

2238916680 is an abundant number, since it is smaller than the sum of its proper divisors (8405563320).

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

2238916680 is a wasteful number, since it uses less digits than its factorization.

2238916680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2238916680 is about 47317.1922243913. The cubic root of 2238916680 is about 1308.2155608035.

The spelling of 2238916680 in words is "two billion, two hundred thirty-eight million, nine hundred sixteen thousand, six hundred eighty".