Search a number
-
+
13225483200 = 2635217612657
BaseRepresentation
bin11000101000100110…
…01101101111000000
31021010201002011021010
430110103031233000
5204041210430300
610024204000520
7645511516026
oct142423155700
937121064233
1013225483200
115677493306
122691230140
13132a00c107
148d66a2716
15526141a50
hex3144cdbc0

13225483200 has 336 divisors, whose sum is σ = 46713733344. Its totient is φ = 3263692800.

The previous prime is 13225483189. The next prime is 13225483237. The reversal of 13225483200 is 238452231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4976272 + ... + 4978928.

Almost surely, 213225483200 is an apocalyptic number.

13225483200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13225483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23356866672).

13225483200 is an abundant number, since it is smaller than the sum of its proper divisors (33488250144).

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

13225483200 is a wasteful number, since it uses less digits than its factorization.

13225483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 13225483200 in words is "thirteen billion, two hundred twenty-five million, four hundred eighty-three thousand, two hundred".