Search a number
-
+
2264437640 = 235349162209
BaseRepresentation
bin1000011011111000…
…1001001110001000
312211210221100110202
42012332021032020
514114144001030
61012410431332
7110054255003
oct20676111610
95753840422
102264437640
11a62241573
12532432548
132a11a343a
14176a5253a
15d3be9745
hex86f89388

2264437640 has 32 divisors (see below), whose sum is σ = 5109615000. Its totient is φ = 903174144.

The previous prime is 2264437619. The next prime is 2264437649. The reversal of 2264437640 is 467344622.

It can be written as a sum of positive squares in 4 ways, for example, as 2254540324 + 9897316 = 47482^2 + 3146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2264437594 and 2264437603.

It is not an unprimeable number, because it can be changed into a prime (2264437649) 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, 67145 + ... + 95064.

Almost surely, 22264437640 is an apocalyptic number.

2264437640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264437640 is an abundant number, since it is smaller than the sum of its proper divisors (2845177360).

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

2264437640 is a wasteful number, since it uses less digits than its factorization.

2264437640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162569 (or 162565 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The square root of 2264437640 is about 47586.1076365781. The cubic root of 2264437640 is about 1313.1674880267.

The spelling of 2264437640 in words is "two billion, two hundred sixty-four million, four hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 349 698 1396 1745 2792 3490 6980 13960 162209 324418 648836 811045 1297672 1622090 3244180 6488360 56610941 113221882 226443764 283054705 452887528 566109410 1132218820 2264437640