Search a number
-
+
2257279240 = 23597581773
BaseRepresentation
bin1000011010001011…
…0101100100001000
312211022110122222211
42012202311210020
514110330413430
61011553154504
7106636362016
oct20642654410
95738418884
102257279240
11a591a2337
1252bb5ba34
1329c8680b8
14175b0b8b6
15d328372a
hex868b5908

2257279240 has 32 divisors (see below), whose sum is σ = 5131246680. Its totient is φ = 893601792.

The previous prime is 2257279223. The next prime is 2257279247. The reversal of 2257279240 is 429727522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1097331876 + 1159947364 = 33126^2 + 34058^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2257279193 and 2257279202.

It is not an unprimeable number, because it can be changed into a prime (2257279247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287007 + ... + 294766.

Almost surely, 22257279240 is an apocalyptic number.

2257279240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257279240 is an abundant number, since it is smaller than the sum of its proper divisors (2873967440).

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

2257279240 is a wasteful number, since it uses less digits than its factorization.

2257279240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581881 (or 581877 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 2257279240 is about 47510.8328699887. The cubic root of 2257279240 is about 1311.7822874546.

The spelling of 2257279240 in words is "two billion, two hundred fifty-seven million, two hundred seventy-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 581773 1163546 2327092 2908865 4654184 5817730 11635460 23270920 56431981 112863962 225727924 282159905 451455848 564319810 1128639620 2257279240