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210222200020 = 22572297396981
BaseRepresentation
bin1100001111001000111…
…0000011010011010100
3202002121202011020202011
43003302032003103110
511421013340400040
6240324051154004
721121334134300
oct3036216032324
9662552136664
10210222200020
1181177a51398
12348aaba5904
1316a93067541
14a263964d00
155705ac43ea
hex30f23834d4

210222200020 has 72 divisors (see below), whose sum is σ = 531251247240. Its totient is φ = 69590787840.

The previous prime is 210222200017. The next prime is 210222200029. The reversal of 210222200020 is 20002222012.

It can be written as a sum of positive squares in 4 ways, for example, as 65394764176 + 144827435844 = 255724^2 + 380562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210222200029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3670071 + ... + 3726910.

It is an arithmetic number, because the mean of its divisors is an integer number (7378489545).

Almost surely, 2210222200020 is an apocalyptic number.

210222200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210222200020 is an abundant number, since it is smaller than the sum of its proper divisors (321029047220).

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

210222200020 is a wasteful number, since it uses less digits than its factorization.

210222200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7397033 (or 7397024 counting only the distinct ones).

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

Adding to 210222200020 its reverse (20002222012), we get a palindrome (230224422032).

The spelling of 210222200020 in words is "two hundred ten billion, two hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 28420 7396981 14793962 29587924 36984905 51778867 73969810 103557734 147939620 207115468 214512449 258894335 362452069 429024898 517788670 724904138 858049796 1035577340 1072562245 1449808276 1501587143 1812260345 2145124490 3003174286 3624520690 4290248980 6006348572 7249041380 7507935715 10511110001 15015871430 21022220002 30031742860 42044440004 52555550005 105111100010 210222200020