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2243772216 = 233274451929
BaseRepresentation
bin1000010110111101…
…0011111100111000
312210101001102211200
42011233103330320
514043401202331
61010351454200
7106413514650
oct20557237470
95711042750
102243772216
11a51607304
12527527360
13299b1918a
14173dd3360
15d1eb65e6
hex85bd3f38

2243772216 has 48 divisors (see below), whose sum is σ = 6945010800. Its totient is φ = 641077632.

The previous prime is 2243772197. The next prime is 2243772221. The reversal of 2243772216 is 6122773422.

It is a happy number.

2243772216 is a `hidden beast` number, since 2 + 2 + 437 + 7 + 2 + 216 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 2225461 + ... + 2226468.

It is an arithmetic number, because the mean of its divisors is an integer number (144687725).

Almost surely, 22243772216 is an apocalyptic number.

It is an amenable number.

2243772216 is an abundant number, since it is smaller than the sum of its proper divisors (4701238584).

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

2243772216 is a wasteful number, since it uses less digits than its factorization.

2243772216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451948 (or 4451941 counting only the distinct ones).

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

The square root of 2243772216 is about 47368.4728062875. The cubic root of 2243772216 is about 1309.1605864954.

The spelling of 2243772216 in words is "two billion, two hundred forty-three million, seven hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4451929 8903858 13355787 17807716 26711574 31163503 35615432 40067361 53423148 62327006 80134722 93490509 106846296 124654012 160269444 186981018 249308024 280471527 320538888 373962036 560943054 747924072 1121886108 2243772216