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20220319224 = 233374127307
BaseRepresentation
bin10010110101001110…
…011001010111111000
31221012012002122102000
4102311032121113320
5312402400203344
613142235341000
71314035610000
oct226516312770
957165078360
1020220319224
118636930126
123b038b1760
131ba3227741
14d9b677000
157d528aa69
hex4b53995f8

20220319224 has 320 divisors, whose sum is σ = 66255974400. Its totient is φ = 5713073856.

The previous prime is 20220319211. The next prime is 20220319241. The reversal of 20220319224 is 42291302202.

It is a super-2 number, since 2×202203192242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 65864079 + ... + 65864385.

It is an arithmetic number, because the mean of its divisors is an integer number (207049920).

Almost surely, 220220319224 is an apocalyptic number.

20220319224 is a gapful number since it is divisible by the number (24) 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 20220319224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33127987200).

20220319224 is an abundant number, since it is smaller than the sum of its proper divisors (46035655176).

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

20220319224 is a wasteful number, since it uses less digits than its factorization.

20220319224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 20220319224 in words is "twenty billion, two hundred twenty million, three hundred nineteen thousand, two hundred twenty-four".