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220064006460 = 223526831367027
BaseRepresentation
bin1100110011110011010…
…1100100000100111100
3210001000122020211002210
43030330311210010330
512101142341201320
6245032423220420
721620251122444
oct3147465440474
9701018224083
10220064006460
1185368438221
1236796ba7710
13179a104754c
14a918aa9124
155aceb350e0
hex333cd6413c

220064006460 has 48 divisors (see below), whose sum is σ = 616409329536. Its totient is φ = 58661819712.

The previous prime is 220064006447. The next prime is 220064006501. The reversal of 220064006460 is 64600460022.

220064006460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 522534 + ... + 844493.

It is an arithmetic number, because the mean of its divisors is an integer number (12841861032).

Almost surely, 2220064006460 is an apocalyptic number.

220064006460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220064006460 is an abundant number, since it is smaller than the sum of its proper divisors (396345323076).

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

220064006460 is a wasteful number, since it uses less digits than its factorization.

220064006460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369722 (or 1369720 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 220064006460 its reverse (64600460022), we get a palindrome (284664466482).

The spelling of 220064006460 in words is "two hundred twenty billion, sixty-four million, six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2683 5366 8049 10732 13415 16098 26830 32196 40245 53660 80490 160980 1367027 2734054 4101081 5468108 6835135 8202162 13670270 16404324 20505405 27340540 41010810 82021620 3667733441 7335466882 11003200323 14670933764 18338667205 22006400646 36677334410 44012801292 55016001615 73354668820 110032003230 220064006460