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222133001020020 = 223257934915552461
BaseRepresentation
bin110010100000011101011110…
…100111100110001001110100
31002010111201002202211021100200
4302200131132213212021310
5213103411341230120040
62104234254130040500
764534402562013366
oct6240353647461164
91063451082737320
10222133001020020
1164862093098032
1220ab6a44719130
1396c408a65c39c
143cbd41a5cad36
151aa32c845c630
hexca075e9e6274

222133001020020 has 72 divisors (see below), whose sum is σ = 673811971396200. Its totient is φ = 59234716611840.

The previous prime is 222133001019983. The next prime is 222133001020067. The reversal of 222133001020020 is 20020100331222.

222133001020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3268553031396 + 218864447988624 = 1807914^2 + 14794068^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222133001019975 and 222133001020002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6506590 + ... + 22059050.

It is an arithmetic number, because the mean of its divisors is an integer number (9358499602725).

Almost surely, 2222133001020020 is an apocalyptic number.

222133001020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222133001020020 is an abundant number, since it is smaller than the sum of its proper divisors (451678970376180).

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

222133001020020 is a wasteful number, since it uses less digits than its factorization.

222133001020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15631825 (or 15631820 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222133001020020 its reverse (20020100331222), we get a palindrome (242153101351242).

The spelling of 222133001020020 in words is "two hundred twenty-two trillion, one hundred thirty-three billion, one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 79349 158698 238047 317396 396745 476094 714141 793490 952188 1190235 1428282 1586980 2380470 2856564 3570705 4760940 7141410 14282820 15552461 31104922 46657383 62209844 77762305 93314766 139972149 155524610 186629532 233286915 279944298 311049220 466573830 559888596 699860745 933147660 1399721490 2799442980 1234072227889 2468144455778 3702216683667 4936288911556 6170361139445 7404433367334 11106650051001 12340722278890 14808866734668 18511083418335 22213300102002 24681444557780 37022166836670 44426600204004 55533250255005 74044333673340 111066500510010 222133001020020