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2231132000 = 25531931947
BaseRepresentation
bin1000010011111100…
…0101111101100000
312202111021020201112
42010333011331200
514032132211000
61005220522452
7106201211006
oct20477057540
95674236645
102231132000
11a45463549
12523250428
13297311966
14172462a76
15d0d1b235
hex84fc5f60

2231132000 has 192 divisors, whose sum is σ = 5962844160. Its totient is φ = 817344000.

The previous prime is 2231131993. The next prime is 2231132107. The reversal of 2231132000 is 2311322.

It is a happy number.

2231132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22311320003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2355527 + ... + 2356473.

It is an arithmetic number, because the mean of its divisors is an integer number (31056480).

Almost surely, 22231132000 is an apocalyptic number.

2231132000 is a gapful number since it is divisible by the number (20) 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 2231132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981422080).

2231132000 is an abundant number, since it is smaller than the sum of its proper divisors (3731712160).

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

2231132000 is a wasteful number, since it uses less digits than its factorization.

2231132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2231132000 is about 47234.8600082608. The cubic root of 2231132000 is about 1306.6975847652.

Adding to 2231132000 its reverse (2311322), we get a palindrome (2233443322).

The spelling of 2231132000 in words is "two billion, two hundred thirty-one million, one hundred thirty-two thousand".