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222001422300240 = 2435114331933100469
BaseRepresentation
bin110010011110100010111011…
…111010100111010001010000
31002010001010110211020202022220
4302132202323322213101100
5213044232403102101430
62104054013453301040
764522034125236432
oct6236427372472120
91063033424222286
10222001422300240
1164811302361410
1220a95443194780
1396b484b692b4b
143cb6cd75aa652
151a9eb76c00110
hexc9e8bbea7450

222001422300240 has 320 divisors, whose sum is σ = 752899108872960. Its totient is φ = 53665922580480.

The previous prime is 222001422300233. The next prime is 222001422300323. The reversal of 222001422300240 is 42003224100222.

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 222001422300240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2209600726 + ... + 2209701194.

It is an arithmetic number, because the mean of its divisors is an integer number (2352809715228).

Almost surely, 2222001422300240 is an apocalyptic number.

222001422300240 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 222001422300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376449554436480).

222001422300240 is an abundant number, since it is smaller than the sum of its proper divisors (530897686572720).

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

222001422300240 is a wasteful number, since it uses less digits than its factorization.

222001422300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102862 (or 102856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 222001422300240 its reverse (42003224100222), we get a palindrome (264004646400462).

The spelling of 222001422300240 in words is "two hundred twenty-two trillion, one billion, four hundred twenty-two million, three hundred thousand, two hundred forty".