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2297152 = 261113251
BaseRepresentation
bin1000110000110101000000
311022201002201
420300311000
51042002102
6121122544
725345144
oct10606500
94281081
102297152
111329980
12929454
13625780
1443b224
15305987
hex230d40

2297152 has 56 divisors (see below), whose sum is σ = 5376672. Its totient is φ = 960000.

The previous prime is 2297149. The next prime is 2297153. The reversal of 2297152 is 2517922.

It is a super-2 number, since 2×22971522 = 10553814622208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2297152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9027 + ... + 9277.

It is an arithmetic number, because the mean of its divisors is an integer number (96012).

22297152 is an apocalyptic number.

2297152 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 2297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688336).

2297152 is an abundant number, since it is smaller than the sum of its proper divisors (3079520).

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

2297152 is a wasteful number, since it uses less digits than its factorization.

2297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 2297152 is about 1515.6358401674. The cubic root of 2297152 is about 131.9461059448.

It can be divided in two parts, 229 and 7152, that added together give a triangular number (7381 = T121).

The spelling of 2297152 in words is "two million, two hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 251 286 352 416 502 572 704 832 1004 1144 2008 2288 2761 3263 4016 4576 5522 6526 8032 9152 11044 13052 16064 22088 26104 35893 44176 52208 71786 88352 104416 143572 176704 208832 287144 574288 1148576 2297152