2240226000 has 240 divisors, whose sum is σ = 8285750928. Its totient is φ = 562176000.

The previous prime is 2240225969. The next prime is 2240226029. The reversal of 2240226000 is 6220422.

It is a happy number.

2240226000 is a `hidden beast` number, since 2 + 2 + 40 + 22 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1247219856 + 993006144 = 35316^2 + 31512^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2240226000² = 10037225062152000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302340 + ... + 309660.

Almost surely, 2^2240226000 is an apocalyptic number.

2240226000 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 2240226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142875464).

2240226000 is an abundant number, since it is smaller than the sum of its proper divisors (6045524928).

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

2240226000 is a wasteful number, since it uses less digits than its factorization.

2240226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2240226000 is about 47331.0257653476. The cubic root of 2240226000 is about 1308.4705262258.

Adding to 2240226000 its reverse (6220422), we get a palindrome (2246446422).

The spelling of 2240226000 in words is "two billion, two hundred forty million, two hundred twenty-six thousand".