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2181983232 = 210311134967
BaseRepresentation
bin1000001000001110…
…0110110000000000
312122001210020021210
42002003212300000
513432041430412
61000303250120
7105033360102
oct20203466000
95561706253
102181983232
11a1a744330
1250a8a9940
1328a093b50
14169b0b572
15cb85d83c
hex820e6c00

2181983232 has 176 divisors, whose sum is σ = 6833901312. Its totient is φ = 610222080.

The previous prime is 2181983189. The next prime is 2181983257. The reversal of 2181983232 is 2323891812.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×21819832322 = 9522101649458331648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436813 + ... + 441779.

Almost surely, 22181983232 is an apocalyptic number.

2181983232 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 2181983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416950656).

2181983232 is an abundant number, since it is smaller than the sum of its proper divisors (4651918080).

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

2181983232 is a wasteful number, since it uses less digits than its factorization.

2181983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 4996 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 2181983232 is about 46711.7033729236. The cubic root of 2181983232 is about 1297.0313387890.

The spelling of 2181983232 in words is "two billion, one hundred eighty-one million, nine hundred eighty-three thousand, two hundred thirty-two".