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2257122429 = 3427865709
BaseRepresentation
bin1000011010001000…
…1111010001111101
312211022011200220000
42012202033101331
514110310404204
61011545544513
7106635136602
oct20642172175
95738150800
102257122429
11a590a5541
1252baa5139
1329c811903
14175aaa6a9
15d3252039
hex8688f47d

2257122429 has 10 divisors (see below), whose sum is σ = 3371750910. Its totient is φ = 1504748232.

The previous prime is 2257122397. The next prime is 2257122473. The reversal of 2257122429 is 9242217522.

It is a happy number.

2257122429 is a `hidden beast` number, since 22 + 571 + 22 + 42 + 9 = 666.

2257122429 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2029052025 + 228070404 = 45045^2 + 15102^2 .

It is not a de Polignac number, because 2257122429 - 25 = 2257122397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2257122393 and 2257122402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257122479) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13932774 + ... + 13932935.

It is an arithmetic number, because the mean of its divisors is an integer number (337175091).

Almost surely, 22257122429 is an apocalyptic number.

It is an amenable number.

2257122429 is a deficient number, since it is larger than the sum of its proper divisors (1114628481).

2257122429 is an equidigital number, since it uses as much as digits as its factorization.

2257122429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27865721 (or 27865712 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2257122429 is about 47509.1825755822. The cubic root of 2257122429 is about 1311.7519106700.

The spelling of 2257122429 in words is "two billion, two hundred fifty-seven million, one hundred twenty-two thousand, four hundred twenty-nine".

Divisors: 1 3 9 27 81 27865709 83597127 250791381 752374143 2257122429