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2258566380 = 22325731531091
BaseRepresentation
bin1000011010011110…
…1111110011101100
312211101220001121200
42012213233303230
514111143111010
61012040525500
7106653332430
oct20647576354
95741801550
102258566380
11a599a1394
12530480890
1329cbc8c15
14175d649c0
15d3439cc0
hex869efcec

2258566380 has 288 divisors, whose sum is σ = 8242311168. Its totient is φ = 489715200.

The previous prime is 2258566339. The next prime is 2258566393. The reversal of 2258566380 is 836658522.

2258566380 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 5 + 6 + 638 + 0 = 666.

It is a super-2 number, since 2×22585663802 = 10202244185732608800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069635 + ... + 2070725.

It is an arithmetic number, because the mean of its divisors is an integer number (28619136).

Almost surely, 22258566380 is an apocalyptic number.

2258566380 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 2258566380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121155584).

2258566380 is an abundant number, since it is smaller than the sum of its proper divisors (5983744788).

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

2258566380 is a wasteful number, since it uses less digits than its factorization.

2258566380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2258566380 is about 47524.3766923881. The cubic root of 2258566380 is about 1312.0315737928.

The spelling of 2258566380 in words is "two billion, two hundred fifty-eight million, five hundred sixty-six thousand, three hundred eighty".