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20220124224300 = 2235271113376129833
BaseRepresentation
bin1001001100011110111010…
…10100100101101100101100
32122121000200020000201002220
410212033131110211230230
510122241303300134200
6111000555152115340
74154566346036520
oct446173524455454
978530606021086
1020220124224300
116496340a94870
122326966835b50
13b38998953430
144dc932d1dd80
15250e89e134a0
hex1263dd525b2c

20220124224300 has 1152 divisors, whose sum is σ = 81998473095168. Its totient is φ = 3711578112000.

The previous prime is 20220124224257. The next prime is 20220124224347. The reversal of 20220124224300 is 342242102202.

It is a super-2 number, since 2×202201242243002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 677762184 + ... + 677792016.

Almost surely, 220220124224300 is an apocalyptic number.

20220124224300 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 20220124224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40999236547584).

20220124224300 is an abundant number, since it is smaller than the sum of its proper divisors (61778348870868).

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

20220124224300 is a wasteful number, since it uses less digits than its factorization.

20220124224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29979 (or 29972 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20220124224300 its reverse (342242102202), we get a palindrome (20562366326502).

The spelling of 20220124224300 in words is "twenty trillion, two hundred twenty billion, one hundred twenty-four million, two hundred twenty-four thousand, three hundred".