Search a number
-
+
2220374814 = 237319717581
BaseRepresentation
bin1000010001011000…
…0011101100011110
312201202000201122020
42010112003230132
514021403443224
61004154201010
7106010605650
oct20426035436
95652021566
102220374814
11a3a386509
1251b723166
13295016568
14170c626d0
15cede3c79
hex84583b1e

2220374814 has 64 divisors (see below), whose sum is σ = 5293166592. Its totient is φ = 607564800.

The previous prime is 2220374813. The next prime is 2220374831. The reversal of 2220374814 is 4184730222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220374813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117504 + ... + 135084.

It is an arithmetic number, because the mean of its divisors is an integer number (82705728).

Almost surely, 22220374814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220374814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2646583296).

2220374814 is an abundant number, since it is smaller than the sum of its proper divisors (3072791778).

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

2220374814 is a wasteful number, since it uses less digits than its factorization.

2220374814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17721.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2220374814 is about 47120.8532817478. The cubic root of 2220374814 is about 1304.5941622015.

The spelling of 2220374814 in words is "two billion, two hundred twenty million, three hundred seventy-four thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 97 186 194 217 291 434 582 651 679 1302 1358 2037 3007 4074 6014 9021 17581 18042 21049 35162 42098 52743 63147 105486 123067 126294 246134 369201 545011 738402 1090022 1635033 1705357 3270066 3410714 3815077 5116071 7630154 10232142 11445231 11937499 22890462 23874998 35812497 52866067 71624994 105732134 158598201 317196402 370062469 740124938 1110187407 2220374814