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22212102020 = 2253161896599
BaseRepresentation
bin10100101011111100…
…011100011110000100
32010022222222200202012
4110223330130132010
5330442244231040
614112030233352
71414302515633
oct245374343604
963288880665
1022212102020
119469175009
12437a955858
13212ca85844
141109dd351a
158a0078865
hex52bf1c784

22212102020 has 96 divisors (see below), whose sum is σ = 49496832000. Its totient is φ = 8360985600.

The previous prime is 22212102013. The next prime is 22212102023. The reversal of 22212102020 is 2020121222.

It is a super-2 number, since 2×222121020202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22212101986 and 22212102004.

It is not an unprimeable number, because it can be changed into a prime (22212102023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3362681 + ... + 3369279.

It is an arithmetic number, because the mean of its divisors is an integer number (515592000).

Almost surely, 222212102020 is an apocalyptic number.

22212102020 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 22212102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416000).

22212102020 is an abundant number, since it is smaller than the sum of its proper divisors (27284729980).

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

22212102020 is a wasteful number, since it uses less digits than its factorization.

22212102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6789 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22212102020 its reverse (2020121222), we get a palindrome (24232223242).

The spelling of 22212102020 in words is "twenty-two billion, two hundred twelve million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 89 122 124 155 178 244 305 310 356 445 610 620 890 1220 1780 1891 2759 3782 5429 5518 6599 7564 9455 10858 11036 13198 13795 18910 21716 26396 27145 27590 32995 37820 54290 55180 65990 108580 131980 168299 204569 336598 402539 409138 587311 673196 805078 818276 841495 1022845 1174622 1610156 1682990 2012695 2045690 2349244 2936555 3365980 4025390 4091380 5873110 8050780 11746220 12478709 18206641 24957418 35825971 36413282 49914836 62393545 71651942 72826564 91033205 124787090 143303884 179129855 182066410 249574180 358259710 364132820 716519420 1110605101 2221210202 4442420404 5553025505 11106051010 22212102020