Search a number
-
+
2252654712 = 2335711101149
BaseRepresentation
bin1000011001000100…
…1100100001111000
312210222202201100000
42012101030201320
514103134422322
61011310113000
7106552151310
oct20621144170
95728681300
102252654712
11a56623910
1252a4ab760
1329b9091a9
14175266440
15d2b6d3ac
hex8644c878

2252654712 has 384 divisors, whose sum is σ = 8019648000. Its totient is φ = 575424000.

The previous prime is 2252654671. The next prime is 2252654731. The reversal of 2252654712 is 2174562522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15118414 + ... + 15118562.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 22252654712 is an apocalyptic number.

2252654712 is a gapful number since it is divisible by the number (22) 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 2252654712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2252654712 is an abundant number, since it is smaller than the sum of its proper divisors (5766993288).

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

2252654712 is a wasteful number, since it uses less digits than its factorization.

2252654712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 2252654712 is about 47462.1397747721. The cubic root of 2252654712 is about 1310.8858511173.

The spelling of 2252654712 in words is "two billion, two hundred fifty-two million, six hundred fifty-four thousand, seven hundred twelve".