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222442020240 = 24351117311011583
BaseRepresentation
bin1100111100101010010…
…0111101110110010000
3210021011100220102202020
43033022210331312100
512121030124121430
6250104412251440
722033214655306
oct3171244756620
9707140812666
10222442020240
11863787a3170
123713b470b80
1317c8c9059ab
14aaa2844276
155bbd7b6b10
hex33ca93dd90

222442020240 has 640 divisors, whose sum is σ = 830867963904. Its totient is φ = 48599040000.

The previous prime is 222442020217. The next prime is 222442020263. The reversal of 222442020240 is 42020244222.

It is an interprime number because it is at equal distance from previous prime (222442020217) and next prime (222442020263).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222442020240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140518489 + ... + 140520071.

Almost surely, 2222442020240 is an apocalyptic number.

222442020240 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 222442020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415433981952).

222442020240 is an abundant number, since it is smaller than the sum of its proper divisors (608425943664).

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

222442020240 is a wasteful number, since it uses less digits than its factorization.

222442020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 222442020240 its reverse (42020244222), we get a palindrome (264462264462).

The spelling of 222442020240 in words is "two hundred twenty-two billion, four hundred forty-two million, twenty thousand, two hundred forty".