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4004220020022 = 234163257590041
BaseRepresentation
bin111010010001001110000…
…111001010010100110110
3112011210120222101221010000
4322101032013022110312
51011101120311120042
612303302511412130
7562203206405355
oct72211607122466
915153528357100
104004220020022
1113041a88a2122
12548065224046
1323079a1939c1
14dbb3b9a799c
156e25b6e174c
hex3a44e1ca536

4004220020022 has 80 divisors (see below), whose sum is σ = 9062606128752. Its totient is φ = 1321387499520.

The previous prime is 4004220019997. The next prime is 4004220020069. The reversal of 4004220020022 is 2200200224004.

4004220020022 is a `hidden beast` number, since 40 + 0 + 422 + 0 + 0 + 200 + 2 + 2 = 666.

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 = 4004220019977 and 4004220020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6491322 + ... + 7081362.

Almost surely, 24004220020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004220020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531303064376).

4004220020022 is an abundant number, since it is smaller than the sum of its proper divisors (5058386108730).

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

4004220020022 is a wasteful number, since it uses less digits than its factorization.

4004220020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590475 (or 590466 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4004220020022 its reverse (2200200224004), we get a palindrome (6204420244026).

The spelling of 4004220020022 in words is "four trillion, four billion, two hundred twenty million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 257 326 489 514 771 978 1467 1542 2313 2934 4401 4626 6939 8802 13203 13878 20817 26406 41634 41891 83782 125673 251346 377019 590041 754038 1131057 1180082 1770123 2262114 3393171 3540246 5310369 6786342 10620738 15931107 31862214 47793321 95586642 96176683 151640537 192353366 288530049 303281074 454921611 577060098 865590147 909843222 1364764833 1731180294 2596770441 2729529666 4094294499 5193540882 7790311323 8188588998 12282883497 15580622646 24565766994 24717407531 49434815062 74152222593 148304445186 222456667779 444913335558 667370003337 1334740006674 2002110010011 4004220020022