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220033212320 = 2555923308603
BaseRepresentation
bin1100110011101100000…
…0000101111110100000
3210000221111022022111002
43030323000011332200
512101112000243240
6245025403211132
721616425305555
oct3147300057640
9700844268432
10220033212320
1185352015119
1236788816aa8
1317997854c6c
14a914970a2c
155acc0a0d15
hex333b005fa0

220033212320 has 48 divisors (see below), whose sum is σ = 528639138720. Its totient is φ = 86521530624.

The previous prime is 220033212319. The next prime is 220033212337. The reversal of 220033212320 is 23212330022.

220033212320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2200332123202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220033212292 and 220033212301.

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 7 ways as a sum of consecutive naturals, for example, 11644862 + ... + 11663741.

It is an arithmetic number, because the mean of its divisors is an integer number (11013315390).

Almost surely, 2220033212320 is an apocalyptic number.

220033212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220033212320 is an abundant number, since it is smaller than the sum of its proper divisors (308605926400).

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

220033212320 is a wasteful number, since it uses less digits than its factorization.

220033212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23308677 (or 23308669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 220033212320 its reverse (23212330022), we get a palindrome (243245542342).

It can be divided in two parts, 22003 and 3212320, that added together give a palindrome (3234323).

The spelling of 220033212320 in words is "two hundred twenty billion, thirty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 23308603 46617206 93234412 116543015 186468824 233086030 372937648 466172060 745875296 932344120 1375207577 1864688240 2750415154 3729376480 5500830308 6876037885 11001660616 13752075770 22003321232 27504151540 44006642464 55008303080 110016606160 220033212320