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2345428223100 = 22325253295316651
BaseRepresentation
bin100010001000010110011…
…010101000010001111100
322022012221220222201102200
4202020112122220101330
5301411414111114400
64553250322351500
7331310616645504
oct42102632502174
98265856881380
102345428223100
118247660a5516
1231a6871bb590
13140232c17961
148173b090a04
15410239b5b00
hex222166a847c

2345428223100 has 216 divisors, whose sum is σ = 7493310678672. Its totient is φ = 613401984000.

The previous prime is 2345428223087. The next prime is 2345428223119. The reversal of 2345428223100 is 13228245432.

2345428223100 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 428 + 223 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×23454282231002 (a number of 26 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140849775 + ... + 140866425.

It is an arithmetic number, because the mean of its divisors is an integer number (34691253142).

Almost surely, 22345428223100 is an apocalyptic number.

2345428223100 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 2345428223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746655339336).

2345428223100 is an abundant number, since it is smaller than the sum of its proper divisors (5147882455572).

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

2345428223100 is a wasteful number, since it uses less digits than its factorization.

2345428223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19667 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2345428223100 in words is "two trillion, three hundred forty-five billion, four hundred twenty-eight million, two hundred twenty-three thousand, one hundred".