Search a number
-
+
2332986816 = 26331338821
BaseRepresentation
bin1000101100001110…
…1000110111000000
320000120221000021010
42023003220313000
514234221034231
61023300000520
7111546026556
oct21303506700
96016830233
102332986816
11a97a01586
12551390140
132b2454794
14181bb7bd6
15d9c3a546
hex8b0e8dc0

2332986816 has 56 divisors (see below), whose sum is σ = 6192574864. Its totient is φ = 775157760.

The previous prime is 2332986811. The next prime is 2332986847. The reversal of 2332986816 is 6186892332.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332986811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40686 + ... + 79506.

It is an arithmetic number, because the mean of its divisors is an integer number (110581694).

Almost surely, 22332986816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2332986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096287432).

2332986816 is an abundant number, since it is smaller than the sum of its proper divisors (3859588048).

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

2332986816 is a wasteful number, since it uses less digits than its factorization.

2332986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39149 (or 39139 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 2332986816 is about 48301.0022256267. The cubic root of 2332986816 is about 1326.2867416534.

The spelling of 2332986816 in words is "two billion, three hundred thirty-two million, nine hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 626 939 1252 1878 2504 3756 5008 7512 10016 15024 20032 30048 38821 60096 77642 116463 155284 232926 310568 465852 621136 931704 1242272 1863408 2484544 3726816 7453632 12150973 24301946 36452919 48603892 72905838 97207784 145811676 194415568 291623352 388831136 583246704 777662272 1166493408 2332986816