Search a number
-
+
3222946441 = 1121323972
BaseRepresentation
bin1100000000011010…
…0100001010001001
322022121112122100201
43000012210022021
523100033241231
61251450532201
7142603410211
oct30006441211
98277478321
103222946441
1114042a6400
1275b437061
133c4944100
1422807d241
1513ce32161
hexc01a4289

3222946441 has 27 divisors (see below), whose sum is σ = 3845732373. Its totient is φ = 2697757920.

The previous prime is 3222946439. The next prime is 3222946451. The reversal of 3222946441 is 1446492223.

The square root of 3222946441 is 56771.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 149352841 + 3073593600 = 12221^2 + 55440^2 .

It is not a de Polignac number, because 3222946441 - 21 = 3222946439 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3222946441.

It is not an unprimeable number, because it can be changed into a prime (3222946451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8118055 + ... + 8118451.

Almost surely, 23222946441 is an apocalyptic number.

3222946441 is the 56771-st square number.

3222946441 is the 28386-th centered octagonal number.

It is an amenable number.

3222946441 is a deficient number, since it is larger than the sum of its proper divisors (622785932).

3222946441 is an equidigital number, since it uses as much as digits as its factorization.

3222946441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 421 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The cubic root of 3222946441 is about 1477.1265224325.

Multiplying 3222946441 by its product of digits (82944), we get a square (267324069602304 = 163500482).

The spelling of 3222946441 in words is "three billion, two hundred twenty-two million, nine hundred forty-six thousand, four hundred forty-one".

Divisors: 1 11 13 121 143 169 397 1573 1859 4367 5161 20449 48037 56771 67093 157609 624481 738023 1733699 2048917 8118253 19070689 22538087 26635921 247918957 292995131 3222946441