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3362224164 = 22313173140897
BaseRepresentation
bin1100100001100111…
…0111100000100100
322200022121200110220
43020121313200210
523341212133124
61313344044340
7146214301545
oct31031674044
98608550426
103362224164
111475984862
1279a0036b0
1341775a770
1423c7764cc
1514a294879
hexc8677824

3362224164 has 96 divisors (see below), whose sum is σ = 9234441216. Its totient is φ = 942243840.

The previous prime is 3362224163. The next prime is 3362224189. The reversal of 3362224164 is 4614222633.

It is a super-2 number, since 2×33622241642 = 22609102657970997792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3362224163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61764 + ... + 102660.

It is an arithmetic number, because the mean of its divisors is an integer number (96192096).

Almost surely, 23362224164 is an apocalyptic number.

3362224164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362224164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617220608).

3362224164 is an abundant number, since it is smaller than the sum of its proper divisors (5872217052).

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

3362224164 is a wasteful number, since it uses less digits than its factorization.

3362224164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40965 (or 40963 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 3362224164 is about 57984.6890480582. The cubic root of 3362224164 is about 1498.1048902700.

Adding to 3362224164 its reverse (4614222633), we get a palindrome (7976446797).

The spelling of 3362224164 in words is "three billion, three hundred sixty-two million, two hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 806 884 1054 1209 1326 1581 1612 2108 2418 2652 3162 4836 6324 6851 13702 20553 27404 40897 41106 81794 82212 122691 163588 245382 490764 531661 695249 1063322 1267807 1390498 1594983 2085747 2126644 2535614 2780996 3189966 3803421 4171494 5071228 6379932 7606842 8342988 9038237 15213684 16481491 18076474 21552719 27114711 32962982 36152948 43105438 49444473 54229422 64658157 65925964 86210876 98888946 108458844 129316314 197777892 258632628 280185347 560370694 840556041 1120741388 1681112082 3362224164