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2247252640 = 25541342569
BaseRepresentation
bin1000010111110010…
…0101101010100000
312210121121021002021
42011330211222200
514100244041030
61010554231224
7106455221653
oct20574455240
95717537067
102247252640
11a53574196
12528725514
1329a7673b9
1417465b89a
15d245297a
hex85f25aa0

2247252640 has 48 divisors (see below), whose sum is σ = 5438641320. Its totient is φ = 876974080.

The previous prime is 2247252619. The next prime is 2247252643. The reversal of 2247252640 is 462527422.

It can be written as a sum of positive squares in 4 ways, for example, as 1467502864 + 779749776 = 38308^2 + 27924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2247252596 and 2247252605.

It is not an unprimeable number, because it can be changed into a prime (2247252643) 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, 164725 + ... + 177844.

Almost surely, 22247252640 is an apocalyptic number.

2247252640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2247252640 is an abundant number, since it is smaller than the sum of its proper divisors (3191388680).

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

2247252640 is a wasteful number, since it uses less digits than its factorization.

2247252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342625 (or 342617 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 2247252640 is about 47405.1963396419. The cubic root of 2247252640 is about 1309.8371376502.

The spelling of 2247252640 in words is "two billion, two hundred forty-seven million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 342569 685138 1370276 1712845 2740552 3425690 5481104 6851380 10962208 13702760 14045329 27405520 28090658 54811040 56181316 70226645 112362632 140453290 224725264 280906580 449450528 561813160 1123626320 2247252640