Search a number
-
+
2247259056 = 24377194201
BaseRepresentation
bin1000010111110010…
…0111001110110000
312210121121120212220
42011330213032300
514100244242211
61010554321040
7106455246450
oct20574471660
95717546786
102247259056
11a53578a99
12528729180
1329a76a2b3
1417465dd60
15d2454806
hex85f273b0

2247259056 has 80 divisors (see below), whose sum is σ = 6728283648. Its totient is φ = 633024000.

The previous prime is 2247259013. The next prime is 2247259057. The reversal of 2247259056 is 6509527422.

2247259056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22472590562 = 10100346529548022272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2247258999 and 2247259017.

It is not an unprimeable number, because it can be changed into a prime (2247259057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23245 + ... + 70956.

Almost surely, 22247259056 is an apocalyptic number.

It is an amenable number.

2247259056 is an abundant number, since it is smaller than the sum of its proper divisors (4481024592).

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

2247259056 is a wasteful number, since it uses less digits than its factorization.

2247259056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94290 (or 94284 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2247259056 is about 47405.2640114998. The cubic root of 2247259056 is about 1309.8383841955.

The spelling of 2247259056 in words is "two billion, two hundred forty-seven million, two hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 5964 7952 11928 23856 94201 188402 282603 376804 565206 659407 753608 1130412 1318814 1507216 1978221 2260824 2637628 3956442 4521648 5275256 6688271 7912884 10550512 13376542 15825768 20064813 26753084 31651536 40129626 46817897 53506168 80259252 93635794 107012336 140453691 160518504 187271588 280907382 321037008 374543176 561814764 749086352 1123629528 2247259056