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220220412 = 223192833413
BaseRepresentation
bin11010010000001…
…00101111111100
3120100101100121120
431020010233330
5422334023122
633504030540
75312562006
oct1510045774
9510340546
10220220412
11103343945
1261902450
1336816b49
1421367376
151450075c
hexd204bfc

220220412 has 48 divisors (see below), whose sum is σ = 542962560. Its totient is φ = 69277248.

The previous prime is 220220383. The next prime is 220220419. The reversal of 220220412 is 214022022.

220220412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202204122 = 96994059722899488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220220391 and 220220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62818 + ... + 66230.

It is an arithmetic number, because the mean of its divisors is an integer number (11311720).

Almost surely, 2220220412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271481280).

220220412 is an abundant number, since it is smaller than the sum of its proper divisors (322742148).

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

220220412 is a wasteful number, since it uses less digits than its factorization.

220220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3722 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 220220412 is about 14839.8252011269. The cubic root of 220220412 is about 603.8826102580.

Adding to 220220412 its reverse (214022022), we get a palindrome (434242434).

The spelling of 220220412 in words is "two hundred twenty million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 283 566 849 1132 1698 3396 3413 5377 6826 10239 10754 13652 16131 20478 21508 32262 40956 64524 64847 129694 194541 259388 389082 778164 965879 1931758 2897637 3863516 5795274 11590548 18351701 36703402 55055103 73406804 110110206 220220412