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4442022220 = 2252953831741
BaseRepresentation
bin1000010001100001…
…11110000101001100
3102110120110002221111
410020300332011030
533044124202340
62012435541404
7215035365046
oct41060760514
912416402844
104442022220
11197a451049
12a3b75a864
1355a38711c
14301d36a96
151aee89aea
hex108c3e14c

4442022220 has 96 divisors (see below), whose sum is σ = 9956157120. Its totient is φ = 1661936640.

The previous prime is 4442022199. The next prime is 4442022229. The reversal of 4442022220 is 222202444.

It is a happy number.

It is a super-2 number, since 2×44420222202 = 39463122805947456800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4442022191 and 4442022200.

It is not an unprimeable number, because it can be changed into a prime (4442022229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550550 + ... + 2552290.

It is an arithmetic number, because the mean of its divisors is an integer number (103709970).

Almost surely, 24442022220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978078560).

4442022220 is an abundant number, since it is smaller than the sum of its proper divisors (5514134900).

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

4442022220 is a wasteful number, since it uses less digits than its factorization.

4442022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4442022220 is about 66648.4975074457. The cubic root of 4442022220 is about 1643.8426426506.

Adding to 4442022220 its reverse (222202444), we get a palindrome (4664224664).

The spelling of 4442022220 in words is "four billion, four hundred forty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 53 58 83 106 116 145 166 212 265 290 332 415 530 580 830 1060 1537 1660 1741 2407 3074 3482 4399 4814 6148 6964 7685 8705 8798 9628 12035 15370 17410 17596 21995 24070 30740 34820 43990 48140 50489 87980 92273 100978 127571 144503 184546 201956 252445 255142 289006 369092 461365 504890 510284 578012 637855 722515 922730 1009780 1275710 1445030 1845460 2551420 2675917 2890060 4190587 5351834 7658659 8381174 10703668 13379585 15317318 16762348 20952935 26759170 30634636 38293295 41905870 53518340 76586590 83811740 153173180 222101111 444202222 888404444 1110505555 2221011110 4442022220