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2023191222420 = 2235617114952253
BaseRepresentation
bin11101011100001111100…
…110000001100010010100
321011102012200020000101210
4131130033212001202110
5231121443423104140
64145235145221420
7266112364433304
oct35341746014224
97142180200353
102023191222420
11710037778505
12288136791870
13118a2b1264a4
146dccc917604
1537963eb0d80
hex1d70f981894

2023191222420 has 192 divisors, whose sum is σ = 5878198771200. Its totient is φ = 519677491200.

The previous prime is 2023191222407. The next prime is 2023191222461. The reversal of 2023191222420 is 242221913202.

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 63 ways as a sum of consecutive naturals, for example, 38693014 + ... + 38745266.

It is an arithmetic number, because the mean of its divisors is an integer number (30615618600).

Almost surely, 22023191222420 is an apocalyptic number.

2023191222420 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 2023191222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939099385600).

2023191222420 is an abundant number, since it is smaller than the sum of its proper divisors (3855007548780).

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

2023191222420 is a wasteful number, since it uses less digits than its factorization.

2023191222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52546 (or 52544 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 2023191222420 in words is "two trillion, twenty-three billion, one hundred ninety-one million, two hundred twenty-two thousand, four hundred twenty".