Search a number
-
+
2246326401 = 31125322203
BaseRepresentation
bin1000010111100100…
…0011100010000001
312210112212012112010
42011321003202001
514100024421101
61010522323133
7106444313364
oct20571034201
95715765463
102246326401
11a52aa1300
125283594a9
1329a501927
1417449a0db
15d231d2d6
hex85e43881

2246326401 has 36 divisors (see below), whose sum is σ = 3356947664. Its totient is φ = 1335116640.

The previous prime is 2246326387. The next prime is 2246326469. The reversal of 2246326401 is 1046236422.

It is not a de Polignac number, because 2246326401 - 26 = 2246326337 is a prime.

It is a super-2 number, since 2×22463264012 = 10091964599659225602, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2246325401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1018566 + ... + 1020768.

Almost surely, 22246326401 is an apocalyptic number.

It is an amenable number.

2246326401 is a deficient number, since it is larger than the sum of its proper divisors (1110621263).

2246326401 is a wasteful number, since it uses less digits than its factorization.

2246326401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2246326401 is about 47395.4259501906. The cubic root of 2246326401 is about 1309.6571565569.

The spelling of 2246326401 in words is "two billion, two hundred forty-six million, three hundred twenty-six thousand, four hundred one".

Divisors: 1 3 11 33 53 121 159 363 583 1749 2203 2809 6413 6609 8427 19239 24233 30899 72699 92697 116759 266563 339889 350277 799689 1019667 1284349 3853047 6188227 14127839 18564681 42383517 68070497 204211491 748775467 2246326401