Search a number
-
+
2249759140 = 225432615999
BaseRepresentation
bin1000011000011000…
…1001100110100100
312210210022121100121
42012012021212210
514101414243030
61011124051324
7106515431356
oct20606114644
95723277317
102249759140
11a54a26382
12529533b44
1329b134235
14174b110d6
15d279a47a
hex861899a4

2249759140 has 24 divisors (see below), whose sum is σ = 4834368000. Its totient is φ = 878975328.

The previous prime is 2249759123. The next prime is 2249759147. The reversal of 2249759140 is 419579422.

It is a super-2 number, since 2×22497591402 = 10122832376027079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2249759147) 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, 1307140 + ... + 1308859.

It is an arithmetic number, because the mean of its divisors is an integer number (201432000).

Almost surely, 22249759140 is an apocalyptic number.

2249759140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2249759140 is an abundant number, since it is smaller than the sum of its proper divisors (2584608860).

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

2249759140 is a wasteful number, since it uses less digits than its factorization.

2249759140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616051 (or 2616049 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2249759140 is about 47431.6259472517. The cubic root of 2249759140 is about 1310.3239375268.

The spelling of 2249759140 in words is "two billion, two hundred forty-nine million, seven hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 2615999 5231998 10463996 13079995 26159990 52319980 112487957 224975914 449951828 562439785 1124879570 2249759140