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22000220202100 = 22527194916125647
BaseRepresentation
bin1010000000010010100110…
…10011110110010001110100
32212220012102011122210010011
411000021103103312101310
510340422422332431400
6114442432302510004
74430314652144410
oct500112323662164
985805364583104
1022000220202100
117012271839a28
122573959295304
13c377c53567ba
14560b6006bd40
1528242235d8ba
hex1402534f6474

22000220202100 has 72 divisors (see below), whose sum is σ = 54588543609600. Its totient is φ = 7539062017920.

The previous prime is 22000220202073. The next prime is 22000220202101. The reversal of 22000220202100 is 120202200022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000220202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6698524 + ... + 9427123.

It is an arithmetic number, because the mean of its divisors is an integer number (758174216800).

Almost surely, 222000220202100 is an apocalyptic number.

22000220202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000220202100 is an abundant number, since it is smaller than the sum of its proper divisors (32588323407500).

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

22000220202100 is a wasteful number, since it uses less digits than its factorization.

22000220202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127617 (or 16127610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22000220202100 its reverse (120202200022), we get a palindrome (22120422402122).

The spelling of 22000220202100 in words is "twenty-two trillion, two hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1949 3898 7796 9745 13643 19490 27286 38980 48725 54572 68215 97450 136430 194900 272860 341075 682150 1364300 16125647 32251294 64502588 80628235 112879529 161256470 225759058 322512940 403141175 451518116 564397645 806282350 1128795290 1612564700 2257590580 2821988225 5643976450 11287952900 31428886003 62857772006 125715544012 157144430015 220002202021 314288860030 440004404042 628577720060 785722150075 880008808084 1100011010105 1571444300150 2200022020210 3142888600300 4400044040420 5500055050525 11000110101050 22000220202100