2231514000 has 120 divisors (see below), whose sum is σ = 7793997432. Its totient is φ = 595065600.

The previous prime is 2231513969. The next prime is 2231514029. The reversal of 2231514000 is 4151322.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 2202612624 = 5376^2 + 46932^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2231514000³ (a number of 29 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 43987 + ... + 79986.

Almost surely, 2^2231514000 is an apocalyptic number.

2231514000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231514000 is an abundant number, since it is smaller than the sum of its proper divisors (5562483432).

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

2231514000 is a wasteful number, since it uses less digits than its factorization.

2231514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124002 (or 123983 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2231514000 is about 47238.9034589077. The cubic root of 2231514000 is about 1306.7721552811.

Adding to 2231514000 its reverse (4151322), we get a palindrome (2235665322).

It can be divided in two parts, 22315 and 14000, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 2231514000 in words is "two billion, two hundred thirty-one million, five hundred fourteen thousand".