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2345396221980 = 223357319666461
BaseRepresentation
bin100010001000010100100…
…000100011100000011100
322022012212200202220011000
4202020110200203200130
5301411332413100410
64553243220430300
7331310050644000
oct42102440434034
98265780686130
102345396221980
1182474a028609
1231a678548390
131402293c1b96
1481736b20700
1541020c93dc0
hex2221482381c

2345396221980 has 384 divisors, whose sum is σ = 8957249280000. Its totient is φ = 507874510080.

The previous prime is 2345396221957. The next prime is 2345396222051. The reversal of 2345396221980 is 891226935432.

2345396221980 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 3 + 9 + 622 + 1 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3185950 + ... + 3852410.

It is an arithmetic number, because the mean of its divisors is an integer number (23326170000).

Almost surely, 22345396221980 is an apocalyptic number.

2345396221980 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 2345396221980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478624640000).

2345396221980 is an abundant number, since it is smaller than the sum of its proper divisors (6611853058020).

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

2345396221980 is a wasteful number, since it uses less digits than its factorization.

2345396221980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666519 (or 666497 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2345396221980 in words is "two trillion, three hundred forty-five billion, three hundred ninety-six million, two hundred twenty-one thousand, nine hundred eighty".