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202202000220 = 2235111931158657
BaseRepresentation
bin1011110001010000101…
…1011010101101011100
3201022220210201212221010
42330110023122231130
511303102203001340
6232520150335220
720415516433503
oct2742413325534
9638823655833
10202202000220
11788318375a0
123323105a510
13160b55a109c
149b0271d83a
1553d6938b80
hex2f142dab5c

202202000220 has 96 divisors (see below), whose sum is σ = 617958948096. Its totient is φ = 48992972800.

The previous prime is 202202000213. The next prime is 202202000237. The reversal of 202202000220 is 22000202202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202202000196 and 202202000205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195132 + ... + 1353788.

It is an arithmetic number, because the mean of its divisors is an integer number (6437072376).

Almost surely, 2202202000220 is an apocalyptic number.

202202000220 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 202202000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308979474048).

202202000220 is an abundant number, since it is smaller than the sum of its proper divisors (415756947876).

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

202202000220 is a wasteful number, since it uses less digits than its factorization.

202202000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160611 (or 160609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 202202000220 its reverse (22000202202), we get a palindrome (224202202422).

The spelling of 202202000220 in words is "two hundred two billion, two hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1931 3862 5793 7724 9655 11586 19310 21241 23172 28965 38620 42482 57930 63723 84964 106205 115860 127446 158657 212410 254892 317314 318615 424820 475971 634628 637230 793285 951942 1274460 1586570 1745227 1903884 2379855 3173140 3490454 4759710 5235681 6980908 8726135 9519420 10471362 17452270 20942724 26178405 34904540 52356810 104713620 306366667 612733334 919100001 1225466668 1531833335 1838200002 3063666670 3370033337 3676400004 4595500005 6127333340 6740066674 9191000010 10110100011 13480133348 16850166685 18382000020 20220200022 33700333370 40440400044 50550500055 67400666740 101101000110 202202000220