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2022322022320 = 2451710114879901
BaseRepresentation
bin11101011011011011110…
…010010010011110110000
321011022222002200002000111
4131123123302102132300
5231113203414203240
64145013015231104
7266052011364235
oct35333362223660
97138862602014
102022322022320
1170a731072616
12287b33678494
13118920024bc2
146dc492d778c
1537912a1a1ea
hex1d6dbc927b0

2022322022320 has 160 divisors (see below), whose sum is σ = 5031662167296. Its totient is φ = 753223680000.

The previous prime is 2022322022297. The next prime is 2022322022333. The reversal of 2022322022320 is 232202232202.

It is a junction number, because it is equal to n+sod(n) for n = 2022322022291 and 2022322022300.

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 31 ways as a sum of consecutive naturals, for example, 204249370 + ... + 204259270.

Almost surely, 22022322022320 is an apocalyptic number.

2022322022320 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 2022322022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515831083648).

2022322022320 is an abundant number, since it is smaller than the sum of its proper divisors (3009340144976).

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

2022322022320 is a wasteful number, since it uses less digits than its factorization.

2022322022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 2022322022320 its reverse (232202232202), we get a palindrome (2254524254522).

The spelling of 2022322022320 in words is "two trillion, twenty-two billion, three hundred twenty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1360 1487 1616 1717 2020 2974 3434 4040 5948 6868 7435 8080 8585 9901 11896 13736 14870 17170 19802 23792 25279 27472 29740 34340 39604 49505 50558 59480 68680 79208 99010 101116 118960 126395 137360 150187 158416 168317 198020 202232 252790 300374 336634 396040 404464 505580 600748 673268 750935 792080 841585 1000001 1011160 1201496 1346536 1501870 1683170 2000002 2022320 2402992 2553179 2693072 3003740 3366340 4000004 5000005 5106358 6007480 6732680 8000008 10000010 10212716 12014960 12765895 13465360 14722787 16000016 17000017 20000020 20425432 25531790 29445574 34000034 40000040 40850864 51063580 58891148 68000068 73613935 80000080 85000085 102127160 117782296 136000136 147227870 170000170 204254320 235564592 250287379 272000272 294455740 340000340 500574758 588911480 680000680 1001149516 1177822960 1251436895 1360001360 1487001487 2002299032 2502873790 2974002974 4004598064 5005747580 5948005948 7435007435 10011495160 11896011896 14870014870 20022990320 23792023792 25279025279 29740029740 50558050558 59480059480 101116101116 118960118960 126395126395 202232202232 252790252790 404464404464 505580505580 1011161011160 2022322022320