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2164074100 = 225247945179
BaseRepresentation
bin1000000011111101…
…0010011001110100
312120211002100120121
42000333102121310
513413000332400
6554423341324
7104425216636
oct20077223164
95524070517
102164074100
11a106219a1
125048b1844
13286463326
141675a8a56
15c9ec221a
hex80fd2674

2164074100 has 36 divisors (see below), whose sum is σ = 4705948800. Its totient is φ = 863803360.

The previous prime is 2164074091. The next prime is 2164074131. The reversal of 2164074100 is 14704612.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25311 + ... + 70489.

It is an arithmetic number, because the mean of its divisors is an integer number (130720800).

Almost surely, 22164074100 is an apocalyptic number.

2164074100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164074100 is an abundant number, since it is smaller than the sum of its proper divisors (2541874700).

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

2164074100 is a wasteful number, since it uses less digits than its factorization.

2164074100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45672 (or 45665 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2164074100 is about 46519.6098435918. The cubic root of 2164074100 is about 1293.4730241708.

Adding to 2164074100 its reverse (14704612), we get a palindrome (2178778712).

The spelling of 2164074100 in words is "two billion, one hundred sixty-four million, seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 479 958 1916 2395 4790 9580 11975 23950 45179 47900 90358 180716 225895 451790 903580 1129475 2258950 4517900 21640741 43281482 86562964 108203705 216407410 432814820 541018525 1082037050 2164074100