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2166436340 = 225595093607
BaseRepresentation
bin1000000100100001…
…0011000111110100
312120222112100221222
42001020103013310
513414101430330
6554550125512
7104454255635
oct20110230764
95528470858
102166436340
11a11995762
12505650898
13286aac5c3
14167a2188c
15ca2dc0e5
hex812131f4

2166436340 has 48 divisors (see below), whose sum is σ = 4637001600. Its totient is φ = 849977472.

The previous prime is 2166436331. The next prime is 2166436343. The reversal of 2166436340 is 436346612.

It is a self number, because there is not a number n which added to its sum of digits gives 2166436340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166436343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598817 + ... + 602423.

It is an arithmetic number, because the mean of its divisors is an integer number (96604200).

Almost surely, 22166436340 is an apocalyptic number.

2166436340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166436340 is an abundant number, since it is smaller than the sum of its proper divisors (2470565260).

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

2166436340 is a wasteful number, since it uses less digits than its factorization.

2166436340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 2166436340 is about 46544.9926415291. The cubic root of 2166436340 is about 1293.9434921379.

The spelling of 2166436340 in words is "two billion, one hundred sixty-six million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 59 118 236 295 509 590 1018 1180 2036 2545 3607 5090 7214 10180 14428 18035 30031 36070 60062 72140 120124 150155 212813 300310 425626 600620 851252 1064065 1835963 2128130 3671926 4256260 7343852 9179815 18359630 36719260 108321817 216643634 433287268 541609085 1083218170 2166436340