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2074372164 = 22321715122447
BaseRepresentation
bin111101110100100…
…0110100001000100
312100120022000122200
41323221012201010
513222014402124
6541500554500
7102255605154
oct17351064104
95316260580
102074372164
11974a24567
1249a852a30
132709b6c67
141596d8764
15c21a3bc9
hex7ba46844

2074372164 has 72 divisors (see below), whose sum is σ = 5589013248. Its totient is φ = 646444800.

The previous prime is 2074372151. The next prime is 2074372169. The reversal of 2074372164 is 4612734702.

2074372164 is a `hidden beast` number, since 2 + 0 + 7 + 437 + 216 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2074372169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81189 + ... + 103635.

It is an arithmetic number, because the mean of its divisors is an integer number (77625184).

Almost surely, 22074372164 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 2074372164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794506624).

2074372164 is an abundant number, since it is smaller than the sum of its proper divisors (3514641084).

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

2074372164 is a wasteful number, since it uses less digits than its factorization.

2074372164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22625 (or 22620 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2074372164 is about 45545.2759789641. The cubic root of 2074372164 is about 1275.3485478457.

The spelling of 2074372164 in words is "two billion, seventy-four million, three hundred seventy-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 151 153 204 302 306 453 604 612 906 1359 1812 2567 2718 5134 5436 7701 10268 15402 22447 23103 30804 44894 46206 67341 89788 92412 134682 202023 269364 381599 404046 763198 808092 1144797 1526396 2289594 3389497 3434391 4579188 6778994 6868782 10168491 13557988 13737564 20336982 30505473 40673964 57621449 61010946 115242898 122021892 172864347 230485796 345728694 518593041 691457388 1037186082 2074372164