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222143004402220 = 225113973191797063
BaseRepresentation
bin110010100000100110110010…
…110111011110001000101100
31002010112122220220221201222201
4302200212302313132020230
5213104042333111332340
62104243030513151244
764535205510243106
oct6240466267361054
91063478826851881
10222143004402220
1164866356802150
1220ab897685b524
1396c4cc2c62155
143cbdac8d90576
151aa36b178779a
hexca09b2dde22c

222143004402220 has 96 divisors (see below), whose sum is σ = 510351840746496. Its totient is φ = 80550448070400.

The previous prime is 222143004402211. The next prime is 222143004402229. The reversal of 222143004402220 is 22204400341222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (222143004402211) and next prime (222143004402229).

It is not an unprimeable number, because it can be changed into a prime (222143004402229) by changing a digit.

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, 278303409 + ... + 279100471.

It is an arithmetic number, because the mean of its divisors is an integer number (5316165007776).

Almost surely, 2222143004402220 is an apocalyptic number.

222143004402220 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 222143004402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255175920373248).

222143004402220 is an abundant number, since it is smaller than the sum of its proper divisors (288208836344276).

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

222143004402220 is a wasteful number, since it uses less digits than its factorization.

222143004402220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800671 (or 800669 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 222143004402220 its reverse (22204400341222), we get a palindrome (244347404743442).

The spelling of 222143004402220 in words is "two hundred twenty-two trillion, one hundred forty-three billion, four million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 397 794 1588 1985 3191 3970 4367 6382 7940 8734 12764 15955 17468 21835 31910 35101 43670 63820 70202 87340 140404 175505 351010 702020 797063 1266827 1594126 2533654 3188252 3985315 5067308 6334135 7970630 8767693 12668270 13935097 15941260 17535386 25336540 27870194 35070772 43838465 55740388 69675485 87676930 139350970 175353860 278701940 316434011 632868022 1265736044 1582170055 2543428033 3164340110 3480774121 5086856066 6328680220 6961548242 10173712132 12717140165 13923096484 17403870605 25434280330 27977708363 34807741210 50868560660 55955416726 69615482420 111910833452 139888541815 279777083630 559554167260 1009740929101 2019481858202 4038963716404 5048704645505 10097409291010 11107150220111 20194818582020 22214300440222 44428600880444 55535751100555 111071502201110 222143004402220