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20040222204002 = 271113109604715187
BaseRepresentation
bin1001000111001111110100…
…10100110110000001100010
32121221211022112122011202002
410203213322110312001202
510111314333341012002
6110342203451324002
74135600250065520
oct443477224660142
977854275564662
1020040222204002
116427012a94250
1222b7b19a50602
13b24a283c5c50
144d3d4814b310
1524b45b111002
hex1239fa536062

20040222204002 has 128 divisors (see below), whose sum is σ = 40740427284480. Its totient is φ = 7139499874560.

The previous prime is 20040222203983. The next prime is 20040222204019.

20040222204002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×200402222040022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319556653 + ... + 1319571839.

It is an arithmetic number, because the mean of its divisors is an integer number (318284588160).

Almost surely, 220040222204002 is an apocalyptic number.

20040222204002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20040222204002 is an abundant number, since it is smaller than the sum of its proper divisors (20700205080478).

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

20040222204002 is a wasteful number, since it uses less digits than its factorization.

20040222204002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376.

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 2004022 and 2204002, that added together give a palindrome (4208024).

The spelling of 20040222204002 in words is "twenty trillion, forty billion, two hundred twenty-two million, two hundred four thousand, two".

Divisors: 1 2 7 11 13 14 22 26 77 91 109 143 154 182 218 286 763 1001 1199 1417 1526 2002 2398 2834 6047 8393 9919 12094 15187 15587 16786 19838 30374 31174 42329 66517 78611 84658 106309 109109 133034 157222 167057 197431 212618 218218 334114 394862 465619 550277 659123 864721 931238 1100554 1169399 1318246 1382017 1655383 1729442 2171741 2338798 2764034 3310766 4343482 4613861 6053047 7250353 8568599 9227722 11587681 12106094 14500706 15202187 17137198 18209213 21519979 23175362 30404374 36418426 43039958 50752471 59980193 91835789 94254589 101504942 119960386 127464491 150639853 183671578 188509178 236719769 254928982 301279706 473439538 642850523 659782123 1010193679 1193865257 1285701046 1319564246 1657038383 2020387358 2387730514 3314076766 7071355753 8357056799 10010101001 13132517827 14142711506 16714113598 20020202002 26265035654 70070707007 91927624789 110111111011 130131313013 140141414014 183855249578 220222222022 260262626026 770777777077 910919191091 1431444443143 1541555554154 1821838382182 2862888886286 10020111102001 20040222204002