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3220212112 = 2413194571783
BaseRepresentation
bin1011111111110000…
…1000100110010000
322022102101201120021
42333330020212100
523043333241422
61251312153224
7142541231335
oct27774104620
98272351507
103220212112
1114027a9027
1275a538814
133c41c7670
1422796a98c
1513ca91dc7
hexbff08990

3220212112 has 80 divisors (see below), whose sum is σ = 7092184960. Its totient is φ = 1404158976.

The previous prime is 3220212101. The next prime is 3220212133. The reversal of 3220212112 is 2112120223.

It is a happy number.

3220212112 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 (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1805173 + ... + 1806955.

It is an arithmetic number, because the mean of its divisors is an integer number (88652312).

Almost surely, 23220212112 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 3220212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546092480).

3220212112 is an abundant number, since it is smaller than the sum of its proper divisors (3871972848).

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

3220212112 is a wasteful number, since it uses less digits than its factorization.

3220212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3220212112 is about 56746.9127970853. The cubic root of 3220212112 is about 1476.7086757295.

Adding to 3220212112 its reverse (2112120223), we get a palindrome (5332332335).

The spelling of 3220212112 in words is "three billion, two hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 457 494 914 988 1783 1828 1976 3566 3656 3952 5941 7132 7312 8683 11882 14264 17366 23179 23764 28528 33877 34732 46358 47528 67754 69464 92716 95056 112879 135508 138928 185432 225758 271016 370864 440401 451516 542032 814831 880802 903032 1629662 1761604 1806064 3259324 3523208 6518648 7046416 10592803 13037296 15481789 21185606 30963578 42371212 61927156 84742424 123854312 169484848 201263257 247708624 402526514 805053028 1610106056 3220212112