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2297772 = 223283769
BaseRepresentation
bin1000110000111110101100
311022201221200
420300332230
51042012042
6121125500
725350021
oct10607654
94281850
102297772
11132a394
12929890
13625b39
1443b548
15305c4c
hex230fac

2297772 has 36 divisors (see below), whose sum is σ = 5885880. Its totient is φ = 755712.

The previous prime is 2297761. The next prime is 2297777. The reversal of 2297772 is 2777922.

2297772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is not an unprimeable number, because it can be changed into a prime (2297777) 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, 2604 + ... + 3372.

22297772 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 2297772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942940).

2297772 is an abundant number, since it is smaller than the sum of its proper divisors (3588108).

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

2297772 is a wasteful number, since it uses less digits than its factorization.

2297772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 857 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 2297772 is about 1515.8403609879. The cubic root of 2297772 is about 131.9579756030.

It can be divided in two parts, 229 and 7772, that added together give a triangular number (8001 = T126).

The spelling of 2297772 in words is "two million, two hundred ninety-seven thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 769 996 1494 1538 2307 2988 3076 4614 6921 9228 13842 27684 63827 127654 191481 255308 382962 574443 765924 1148886 2297772