2225210535144 has 24 divisors (see below), whose sum is σ = 6026611866210. Its totient is φ = 741736845024.

The previous prime is 2225210535061. The next prime is 2225210535187. The reversal of 2225210535144 is 4415350125222.

2225210535144 is a `hidden beast` number, since 2 + 2 + 252 + 10 + 5 + 351 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1901834064900 + 323376470244 = 1379070^2 + 568662^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2225210535099 and 2225210535108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15452850867 + ... + 15452851010.

Almost surely, 2^{2225210535144} is an apocalyptic number.

2225210535144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2225210535144 is an abundant number, since it is smaller than the sum of its proper divisors (3801401331066).

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

2225210535144 is a wasteful number, since it uses less digits than its factorization.

2225210535144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30905701889 (or 30905701882 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2225210535144 in words is "two trillion, two hundred twenty-five billion, two hundred ten million, five hundred thirty-five thousand, one hundred forty-four".