Search a number
-
+
3220221120 = 26353354397
BaseRepresentation
bin1011111111110000…
…1010110011000000
322022102102011220220
42333330022303000
523043334033440
61251312303040
7142541266524
oct27774126300
98272364826
103220221120
111402804876
1275a541a80
133c41cb7ac
1422796dd84
1513ca948d0
hexbff0acc0

3220221120 has 56 divisors (see below), whose sum is σ = 10224205104. Its totient is φ = 858725376.

The previous prime is 3220221113. The next prime is 3220221127. The reversal of 3220221120 is 211220223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3220221113) and next prime (3220221127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3220221120.

It is not an unprimeable number, because it can be changed into a prime (3220221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1676239 + ... + 1678158.

Almost surely, 23220221120 is an apocalyptic number.

3220221120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3220221120 is an abundant number, since it is smaller than the sum of its proper divisors (7003983984).

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

3220221120 is a wasteful number, since it uses less digits than its factorization.

3220221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354417 (or 3354407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3220221120 is about 56746.9921669863. The cubic root of 3220221120 is about 1476.7100526760.

Adding to 3220221120 its reverse (211220223), we get a palindrome (3431441343).

The spelling of 3220221120 in words is "three billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3354397 6708794 10063191 13417588 16771985 20126382 26835176 33543970 40252764 50315955 53670352 67087940 80505528 100631910 107340704 134175880 161011056 201263820 214681408 268351760 322022112 402527640 536703520 644044224 805055280 1073407040 1610110560 3220221120