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2231857152 = 212347312
BaseRepresentation
bin1000010100000111…
…0111000000000000
312202112122002110000
42011001313000000
514032323412102
61005244240000
7106210321110
oct20501670000
95675562400
102231857152
11a45909348
12523540000
13297506a45
141725b1040
15d0e1101c
hex85077000

2231857152 has 390 divisors, whose sum is σ = 7873385784. Its totient is φ = 617103360.

The previous prime is 2231857109. The next prime is 2231857157. The reversal of 2231857152 is 2517581322.

2231857152 is a `hidden beast` number, since 2 + 2 + 31 + 8 + 571 + 52 = 666.

It is a super-3 number, since 3×22318571523 (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).

Its product of digits (33600) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231857157) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 71995377 + ... + 71995407.

Almost surely, 22231857152 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 2231857152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936692892).

2231857152 is an abundant number, since it is smaller than the sum of its proper divisors (5641528632).

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

2231857152 is an frugal number, since it uses more digits than its factorization.

2231857152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 43 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2231857152 is about 47242.5354103693. The cubic root of 2231857152 is about 1306.8391349931.

The spelling of 2231857152 in words is "two billion, two hundred thirty-one million, eight hundred fifty-seven thousand, one hundred fifty-two".