Search a number
-
+
1353225500 = 2253111741353
BaseRepresentation
bin101000010101000…
…1001010100011100
310111022022222101222
41100222021110130
510232411204000
6342140152512
745351140564
oct12052112434
93438288358
101353225500
11634951390
12319238738
13187482563
14cba17da4
157dc05a85
hex50a8951c

1353225500 has 192 divisors, whose sum is σ = 3506944896. Its totient is φ = 450560000.

The previous prime is 1353225487. The next prime is 1353225553. The reversal of 1353225500 is 55223531.

It is a self number, because there is not a number n which added to its sum of digits gives 1353225500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3833324 + ... + 3833676.

It is an arithmetic number, because the mean of its divisors is an integer number (18265338).

Almost surely, 21353225500 is an apocalyptic number.

1353225500 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 1353225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753472448).

1353225500 is an abundant number, since it is smaller than the sum of its proper divisors (2153719396).

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

1353225500 is a wasteful number, since it uses less digits than its factorization.

1353225500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 1353225500 is about 36786.2134501500. The cubic root of 1353225500 is about 1106.0889601410.

The spelling of 1353225500 in words is "one billion, three hundred fifty-three million, two hundred twenty-five thousand, five hundred".