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2272292352 = 29341117293
BaseRepresentation
bin1000011101110000…
…0110111000000000
312212100201102010000
42013130012320000
514123201323402
61013251040000
7110211111021
oct20734067000
95770642100
102272292352
11a66716970
12534ba0000
132a29c36b5
14177ad8c48
15d474bc1c
hex87706e00

2272292352 has 400 divisors, whose sum is σ = 7860715632. Its totient is φ = 645857280.

The previous prime is 2272292329. The next prime is 2272292357. The reversal of 2272292352 is 2532922722.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272292357) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7755118 + ... + 7755410.

Almost surely, 22272292352 is an apocalyptic number.

2272292352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930357816).

2272292352 is an abundant number, since it is smaller than the sum of its proper divisors (5588423280).

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

2272292352 is a wasteful number, since it uses less digits than its factorization.

2272292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2272292352 is about 47668.5677569612. The cubic root of 2272292352 is about 1314.6840749057.

The spelling of 2272292352 in words is "two billion, two hundred seventy-two million, two hundred ninety-two thousand, three hundred fifty-two".