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2153223512 = 231182729587
BaseRepresentation
bin1000000001010111…
…1001010101011000
312120001200002100222
42000111321111120
513402211123022
6553355015212
7104234045366
oct20025712530
95501602328
102153223512
11a05490770
1250113a508
1328413456b
14165d82636
15c907c242
hex80579558

2153223512 has 32 divisors (see below), whose sum is σ = 4409795520. Its totient is φ = 977521440.

The previous prime is 2153223487. The next prime is 2153223521.

It is a happy number.

2153223512 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21532235122 = 9272742985259228288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57983 + ... + 87569.

It is an arithmetic number, because the mean of its divisors is an integer number (137806110).

Almost surely, 22153223512 is an apocalyptic number.

2153223512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2153223512 is an abundant number, since it is smaller than the sum of its proper divisors (2256572008).

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

2153223512 is a wasteful number, since it uses less digits than its factorization.

2153223512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30431 (or 30427 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 2153223512 is about 46402.8394820834. The cubic root of 2153223512 is about 1291.3075922617.

The spelling of 2153223512 in words is "two billion, one hundred fifty-three million, two hundred twenty-three thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 827 1654 3308 6616 9097 18194 29587 36388 59174 72776 118348 236696 325457 650914 1301828 2603656 24468449 48936898 97873796 195747592 269152939 538305878 1076611756 2153223512