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2312772 = 2237112503
BaseRepresentation
bin1000110100101001000100
311100111112020
420310221010
51043002042
6121323140
725441530
oct10645104
94314466
102312772
11133a690
129364b0
1362c907
14442bc0
1530a3ec
hex234a44

2312772 has 48 divisors (see below), whose sum is σ = 6730752. Its totient is φ = 600480.

The previous prime is 2312753. The next prime is 2312789. The reversal of 2312772 is 2772132.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (140224).

22312772 is an apocalyptic number.

2312772 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 2312772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365376).

2312772 is an abundant number, since it is smaller than the sum of its proper divisors (4417980).

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

2312772 is a wasteful number, since it uses less digits than its factorization.

2312772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2526 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 2312772 is about 1520.7800629940. The cubic root of 2312772 is about 132.2444963482.

It can be divided in two parts, 231 and 2772, that added together give a palindrome (3003).

The spelling of 2312772 in words is "two million, three hundred twelve thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2503 5006 7509 10012 15018 17521 27533 30036 35042 52563 55066 70084 82599 105126 110132 165198 192731 210252 330396 385462 578193 770924 1156386 2312772