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200002220022 = 231137191428801
BaseRepresentation
bin1011101001000100001…
…1111010111111110110
3201010020111110110210110
42322101003322333312
511234101032020042
6231514005403450
720310145551243
oct2722103727766
9633214413713
10200002220022
1177903048130
1232918409586
1315b249187b7
1499744dc5ca
15530876209c
hex2e910faff6

200002220022 has 64 divisors (see below), whose sum is σ = 450509672448. Its totient is φ = 58659840000.

The previous prime is 200002219993. The next prime is 200002220023. The reversal of 200002220022 is 220022200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200002220023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252022 + ... + 680822.

It is an arithmetic number, because the mean of its divisors is an integer number (7039213632).

Almost surely, 2200002220022 is an apocalyptic number.

200002220022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200002220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225254836224).

200002220022 is an abundant number, since it is smaller than the sum of its proper divisors (250507452426).

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

200002220022 is a wasteful number, since it uses less digits than its factorization.

200002220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429045.

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

Adding to 200002220022 its reverse (220022200002), we get a palindrome (420024420024).

It can be divided in two parts, 200002 and 220022, that multiplied together give a palindrome (44004840044).

The spelling of 200002220022 in words is "two hundred billion, two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 191 222 382 407 573 814 1146 1221 2101 2442 4202 6303 7067 12606 14134 21201 42402 77737 155474 233211 428801 466422 857602 1286403 2572806 4716811 9433622 14150433 15865637 28300866 31731274 47596911 81900991 95193822 163801982 174522007 245702973 349044014 491405946 523566021 900910901 1047132042 1801821802 2702732703 3030336667 5405465406 6060673334 9091010001 18182020002 33333703337 66667406674 100001110011 200002220022