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210224423044020 = 22357113113910560019
BaseRepresentation
bin101111110011001010110000…
…000011110000001110110100
31000120100020222111102011220010
4233303022300003300032310
5210023304104244402040
62023035433335140220
762165133115246110
oct5763126003601664
91016306874364803
10210224423044020
1160a9074a2a5a70
121b6b2a99b14670
13903c102581cb8
1439cacb8712740
15194864665de80
hexbf32b00f03b4

210224423044020 has 384 divisors, whose sum is σ = 762997771468800. Its totient is φ = 41969735539200.

The previous prime is 210224423043907. The next prime is 210224423044037. The reversal of 210224423044020 is 20440324422012.

It is a happy number.

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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14627571 + ... + 25187589.

It is an arithmetic number, because the mean of its divisors is an integer number (1986973363200).

Almost surely, 2210224423044020 is an apocalyptic number.

210224423044020 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 210224423044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381498885734400).

210224423044020 is an abundant number, since it is smaller than the sum of its proper divisors (552773348424780).

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

210224423044020 is a wasteful number, since it uses less digits than its factorization.

210224423044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10560219 (or 10560217 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 210224423044020 its reverse (20440324422012), we get a palindrome (230664747466032).

The spelling of 210224423044020 in words is "two hundred ten trillion, two hundred twenty-four billion, four hundred twenty-three million, forty-four thousand, twenty".