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22002221220 = 22357389134669
BaseRepresentation
bin10100011111011011…
…110100000010100100
32002210101001122102020
4110133123310002210
5330030032034340
614035131543140
71406143536360
oct243733640244
962711048366
1022002221220
119370753501
1243205baab0
1320c844c015
1410ca19c2a0
1588b91b9d0
hex51f6f40a4

22002221220 has 96 divisors (see below), whose sum is σ = 70588627200. Its totient is φ = 5016113664.

The previous prime is 22002221159. The next prime is 22002221237. The reversal of 22002221220 is 2212220022.

It is a super-2 number, since 2×220022212202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22002221220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96046 + ... + 230714.

It is an arithmetic number, because the mean of its divisors is an integer number (735298200).

Almost surely, 222002221220 is an apocalyptic number.

22002221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35294313600).

22002221220 is an abundant number, since it is smaller than the sum of its proper divisors (48586405980).

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

22002221220 is a wasteful number, since it uses less digits than its factorization.

22002221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135077 (or 135075 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22002221220 its reverse (2212220022), we get a palindrome (24214441242).

The spelling of 22002221220 in words is "twenty-two billion, two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 389 420 778 1167 1556 1945 2334 2723 3890 4668 5446 5835 7780 8169 10892 11670 13615 16338 23340 27230 32676 40845 54460 81690 134669 163380 269338 404007 538676 673345 808014 942683 1346690 1616028 1885366 2020035 2693380 2828049 3770732 4040070 4713415 5656098 8080140 9426830 11312196 14140245 18853660 28280490 52386241 56560980 104772482 157158723 209544964 261931205 314317446 366703687 523862410 628634892 733407374 785793615 1047724820 1100111061 1466814748 1571587230 1833518435 2200222122 3143174460 3667036870 4400444244 5500555305 7334073740 11001110610 22002221220