Search a number
-
+
2257115072 = 26292712049
BaseRepresentation
bin1000011010001000…
…1101011111000000
312211022011022210112
42012202031133000
514110310140242
61011545450452
7106635106262
oct20642153700
95738138715
102257115072
11a5909aa63
1252baa0a28
1329c80b464
14175aa7b32
15d324ec82
hex8688d7c0

2257115072 has 28 divisors (see below), whose sum is σ = 4480864800. Its totient is φ = 1128078336.

The previous prime is 2257115071. The next prime is 2257115099. The reversal of 2257115072 is 2705117522.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257115071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181304 + ... + 193352.

Almost surely, 22257115072 is an apocalyptic number.

It is an amenable number.

2257115072 is a deficient number, since it is larger than the sum of its proper divisors (2223749728).

2257115072 is a wasteful number, since it uses less digits than its factorization.

2257115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14988 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 2257115072 is about 47509.1051483818. The cubic root of 2257115072 is about 1311.7504854676.

The spelling of 2257115072 in words is "two billion, two hundred fifty-seven million, one hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 2927 5854 11708 12049 23416 24098 46832 48196 93664 96392 187328 192784 385568 771136 35267423 70534846 141069692 282139384 564278768 1128557536 2257115072