Search a number
-
+
3220220322 = 2321147536529
BaseRepresentation
bin1011111111110000…
…1010100110100010
322022102102010211100
42333330022212202
523043334022242
61251312255230
7142541264304
oct27774124642
98272363740
103220220322
111402804210
1275a541516
133c41cb317
1422796d974
1513ca9454c
hexbff0a9a2

3220220322 has 96 divisors (see below), whose sum is σ = 7921255680. Its totient is φ = 936898560.

The previous prime is 3220220321. The next prime is 3220220383. The reversal of 3220220322 is 2230220223.

3220220322 is a `hidden beast` number, since 322 + 0 + 2 + 20 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3220220295 and 3220220304.

It is not an unprimeable number, because it can be changed into a prime (3220220321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489954 + ... + 496482.

It is an arithmetic number, because the mean of its divisors is an integer number (82513080).

Almost surely, 23220220322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220220322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960627840).

3220220322 is an abundant number, since it is smaller than the sum of its proper divisors (4701035358).

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

3220220322 is a wasteful number, since it uses less digits than its factorization.

3220220322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3220220322 is about 56746.9851357762. The cubic root of 3220220322 is about 1476.7099306953.

Adding to 3220220322 its reverse (2230220223), we get a palindrome (5450440545).

Subtracting from 3220220322 its reverse (2230220223), we obtain a palindrome (990000099).

The spelling of 3220220322 in words is "three billion, two hundred twenty million, two hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 53 66 94 99 106 141 159 198 282 318 423 477 517 583 846 954 1034 1166 1551 1749 2491 3102 3498 4653 4982 5247 6529 7473 9306 10494 13058 14946 19587 22419 27401 39174 44838 54802 58761 71819 82203 117522 143638 164406 215457 246609 306863 346037 430914 493218 613726 646371 692074 920589 1038111 1292742 1841178 2076222 2761767 3114333 3375493 3806407 5523534 6228666 6750986 7612814 10126479 11419221 16263739 20252958 22838442 30379437 32527478 34257663 48791217 60758874 68515326 97582434 146373651 178901129 292747302 357802258 536703387 1073406774 1610110161 3220220322