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22002202002020 = 2254135993745477
BaseRepresentation
bin1010000000010110010010…
…11011110100001001100100
32212220101112021202122112012
411000023021123310021210
510340441002203031040
6114443401055413352
74430415035154632
oct500131133641144
985811467678465
1022002202002020
1170130994855a9
122574210b24258
13c37a4cacaa86
14560cab34a352
152824db328865
hex1402c96f4264

22002202002020 has 48 divisors (see below), whose sum is σ = 47332944772848. Its totient is φ = 8585975101440.

The previous prime is 22002202001933. The next prime is 22002202002083. The reversal of 22002202002020 is 2020020220022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1379177779456 + 20623024222564 = 1174384^2 + 4541258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22002202001986 and 22002202002004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29141522 + ... + 29886998.

It is an arithmetic number, because the mean of its divisors is an integer number (986103016101).

Almost surely, 222002202002020 is an apocalyptic number.

22002202002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002202002020 is an abundant number, since it is smaller than the sum of its proper divisors (25330742770828).

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

22002202002020 is a wasteful number, since it uses less digits than its factorization.

22002202002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781520 (or 781518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 22002202002020 its reverse (2020020220022), we get a palindrome (24022222222042).

The spelling of 22002202002020 in words is "twenty-two trillion, two billion, two hundred two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 35993 71986 143972 179965 359930 719860 745477 1475713 1490954 2951426 2981908 3727385 5902852 7378565 7454770 14757130 14909540 29514260 30564557 61129114 122258228 152822785 305645570 611291140 26831953661 53663907322 107327814644 134159768305 268319536610 536639073220 1100110100101 2200220200202 4400440400404 5500550500505 11001101001010 22002202002020