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2231535852 = 22337213163199
BaseRepresentation
bin1000010100000010…
…1000100011101100
312202112000202201000
42011000220203230
514032233121402
61005233320300
7106204512300
oct20500504354
95675022630
102231535852
11a45709a07
12523406090
13297423720
14172529d00
15d0d9ac1c
hex850288ec

2231535852 has 288 divisors, whose sum is σ = 7328832000. Its totient is φ = 581986944.

The previous prime is 2231535829. The next prime is 2231535863. The reversal of 2231535852 is 2585351322.

2231535852 is a `hidden beast` number, since 2 + 23 + 1 + 53 + 585 + 2 = 666.

It is a super-3 number, since 3×22315358523 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11213649 + ... + 11213847.

Almost surely, 22231535852 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 2231535852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664416000).

2231535852 is an abundant number, since it is smaller than the sum of its proper divisors (5097296148).

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

2231535852 is a wasteful number, since it uses less digits than its factorization.

2231535852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 2231535852 is about 47239.1347507551. The cubic root of 2231535852 is about 1306.7764207696.

The spelling of 2231535852 in words is "two billion, two hundred thirty-one million, five hundred thirty-five thousand, eight hundred fifty-two".