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2235422424000 = 263534397137163
BaseRepresentation
bin100000100001111001100…
…011110011101111000000
321220201000102200010012010
4200201321203303233000
5243111121120032000
64430534444332520
7320334565043163
oct40417143635700
97821012603163
102235422424000
11792045754467
123012a6544140
13132a5146a33c
147a2a31dbada
153d236124d50
hex208798f3bc0

2235422424000 has 896 divisors, whose sum is σ = 7733747653632. Its totient is φ = 568531353600.

The previous prime is 2235422423989. The next prime is 2235422424013. The reversal of 2235422424000 is 4242245322.

It is a super-2 number, since 2×22354224240002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13714247919 + ... + 13714248081.

It is an arithmetic number, because the mean of its divisors is an integer number (8631414792).

Almost surely, 22235422424000 is an apocalyptic number.

2235422424000 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 2235422424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866873826816).

2235422424000 is an abundant number, since it is smaller than the sum of its proper divisors (5498325229632).

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

2235422424000 is a wasteful number, since it uses less digits than its factorization.

2235422424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 2235422424000 its reverse (4242245322), we get a palindrome (2239664669322).

The spelling of 2235422424000 in words is "two trillion, two hundred thirty-five billion, four hundred twenty-two million, four hundred twenty-four thousand".