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2222432001240 = 23351110119187277
BaseRepresentation
bin100000010101110011010…
…001010001110011011000
321212110111002220021020020
4200111303101101303120
5242403020043014430
64420545434430440
7316364636214423
oct40256321216330
97773432807206
102222432001240
11787589a20590
122ba87bb92420
1313176106c959
14797cdc469ba
153cc25965b10
hex20573451cd8

2222432001240 has 256 divisors, whose sum is σ = 7383970160640. Its totient is φ = 530638080000.

The previous prime is 2222432001233. The next prime is 2222432001241. The reversal of 2222432001240 is 421002342222.

It is a super-3 number, since 3×22224320012403 (a number of 38 digits) contains 333 as substring.

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 2222432001240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222432001241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25420482 + ... + 25507758.

It is an arithmetic number, because the mean of its divisors is an integer number (28843633440).

Almost surely, 22222432001240 is an apocalyptic number.

2222432001240 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 2222432001240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691985080320).

2222432001240 is an abundant number, since it is smaller than the sum of its proper divisors (5161538159400).

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

2222432001240 is a wasteful number, since it uses less digits than its factorization.

2222432001240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87594 (or 87590 counting only the distinct ones).

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

Adding to 2222432001240 its reverse (421002342222), we get a palindrome (2643434343462).

The spelling of 2222432001240 in words is "two trillion, two hundred twenty-two billion, four hundred thirty-two million, one thousand, two hundred forty".