Search a number
-
+
2200967664 = 24376550499
BaseRepresentation
bin1000001100110000…
…0001100111110000
312200101111202000220
42003030001213300
514001421431124
61002222213040
7105353626230
oct20314014760
95611452026
102200967664
11a2a430645
12515124180
13290cacc3c
1416c44dcc0
15cd35d879
hex833019f0

2200967664 has 40 divisors (see below), whose sum is σ = 6498096000. Its totient is φ = 628847808.

The previous prime is 2200967641. The next prime is 2200967669. The reversal of 2200967664 is 4667690022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200967669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3274914 + ... + 3275585.

It is an arithmetic number, because the mean of its divisors is an integer number (162452400).

Almost surely, 22200967664 is an apocalyptic number.

2200967664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2200967664 is an abundant number, since it is smaller than the sum of its proper divisors (4297128336).

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

2200967664 is a wasteful number, since it uses less digits than its factorization.

2200967664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6550517 (or 6550511 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2200967664 is about 46914.4717970905. The cubic root of 2200967664 is about 1300.7821061007.

The spelling of 2200967664 in words is "two billion, two hundred million, nine hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6550499 13100998 19651497 26201996 39302994 45853493 52403992 78605988 91706986 104807984 137560479 157211976 183413972 275120958 314423952 366827944 550241916 733655888 1100483832 2200967664