Search a number
-
+
2231460000 = 253254721123
BaseRepresentation
bin1000010100000001…
…0110000010100000
312202111212220122200
42011000112002200
514032223210000
61005231533200
7106204045200
oct20500260240
95674786580
102231460000
11a45667a20
1252338a200
132973c8043
1417250a400
15d0d83500
hex850160a0

2231460000 has 1080 divisors, whose sum is σ = 10500313824. Its totient is φ = 443520000.

The previous prime is 2231459987. The next prime is 2231460019. The reversal of 2231460000 is 641322.

It is a happy number.

It is a super-4 number, since 4×22314600004 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 97019989 + ... + 97020011.

Almost surely, 22231460000 is an apocalyptic number.

2231460000 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 2231460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250156912).

2231460000 is an abundant number, since it is smaller than the sum of its proper divisors (8268853824).

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

2231460000 is a wasteful number, since it uses less digits than its factorization.

2231460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231460000 is about 47238.3318926484. The cubic root of 2231460000 is about 1306.7616144157.

The spelling of 2231460000 in words is "two billion, two hundred thirty-one million, four hundred sixty thousand".