Search a number
-
+
2472221093265 = 3757115355399
BaseRepresentation
bin100011111110011011110…
…111000010110110010001
322202100020100010220000000
4203332123313002312101
5311001102044441030
65131420033520213
7343416641366220
oct43763367026621
98670210126000
102472221093265
118735103a1520
1233b171a13069
1314c18b525611
1487928636cb7
1544494ebd860
hex23f9bdc2d91

2472221093265 has 256 divisors, whose sum is σ = 5651970048000. Its totient is φ = 1008013144320.

The previous prime is 2472221093261. The next prime is 2472221093269. The reversal of 2472221093265 is 5623901222742.

2472221093265 is a `hidden beast` number, since 2 + 472 + 22 + 10 + 93 + 2 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (2472221093261) and next prime (2472221093269).

It is not a de Polignac number, because 2472221093265 - 22 = 2472221093261 is a prime.

It is a super-2 number, since 2×24722210932652 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2472221093265.

It is not an unprimeable number, because it can be changed into a prime (2472221093261) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44598036 + ... + 44653434.

It is an arithmetic number, because the mean of its divisors is an integer number (22078008000).

Almost surely, 22472221093265 is an apocalyptic number.

It is an amenable number.

2472221093265 is an abundant number, since it is smaller than the sum of its proper divisors (3179748954735).

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

2472221093265 is an equidigital number, since it uses as much as digits as its factorization.

2472221093265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55496 (or 55478 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2472221093265 in words is "two trillion, four hundred seventy-two billion, two hundred twenty-one million, ninety-three thousand, two hundred sixty-five".