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2231011332 = 2232115633867
BaseRepresentation
bin1000010011111010…
…1000100000000100
312202111001010012100
42010332220200010
514032114330312
61005214152100
7106200166134
oct20476504004
95674033170
102231011332
11a45390920
125231b2630
1329729ba64
14172430ac4
15d0ce55dc
hex84fa8804

2231011332 has 36 divisors (see below), whose sum is σ = 6152183856. Its totient is φ = 676063920.

The previous prime is 2231011297. The next prime is 2231011333. The reversal of 2231011332 is 2331101322.

2231011332 is a `hidden beast` number, since 22 + 310 + 1 + 1 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×22310113323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2231011333) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2816538 + ... + 2817329.

It is an arithmetic number, because the mean of its divisors is an integer number (170893996).

Almost surely, 22231011332 is an apocalyptic number.

2231011332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2231011332 is an abundant number, since it is smaller than the sum of its proper divisors (3921172524).

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

2231011332 is a wasteful number, since it uses less digits than its factorization.

2231011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633888 (or 5633883 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2231011332 is about 47233.5826716543. The cubic root of 2231011332 is about 1306.6740273025.

Adding to 2231011332 its reverse (2331101322), we get a palindrome (4562112654).

The spelling of 2231011332 in words is "two billion, two hundred thirty-one million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5633867 11267734 16901601 22535468 33803202 50704803 61972537 67606404 101409606 123945074 185917611 202819212 247890148 371835222 557752833 743670444 1115505666 2231011332