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2235424425300 = 22325211337670031
BaseRepresentation
bin100000100001111001101…
…011011100010101010100
321220201000120102210110100
4200201321223130111110
5243111122123102200
64430534555254100
7320334621046653
oct40417153342524
97821016383410
102235424425300
117920468a1030
123012a714a330
13132a519bb241
147a2a359d19a
153d2363bcd00
hex20879adc554

2235424425300 has 216 divisors, whose sum is σ = 7666490063232. Its totient is φ = 540312192000.

The previous prime is 2235424425281. The next prime is 2235424425301. The reversal of 2235424425300 is 35244245322.

2235424425300 is a `hidden beast` number, since 2 + 23 + 542 + 4 + 42 + 53 + 0 + 0 = 666.

It is a super-2 number, since 2×22354244253002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235424425301) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3001285 + ... + 3671315.

It is an arithmetic number, because the mean of its divisors is an integer number (35493009552).

Almost surely, 22235424425300 is an apocalyptic number.

2235424425300 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 2235424425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833245031616).

2235424425300 is an abundant number, since it is smaller than the sum of its proper divisors (5431065637932).

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

2235424425300 is a wasteful number, since it uses less digits than its factorization.

2235424425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670399 (or 670389 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 2235424425300 in words is "two trillion, two hundred thirty-five billion, four hundred twenty-four million, four hundred twenty-five thousand, three hundred".