Search a number
-
+
3220131100 = 2252234613037
BaseRepresentation
bin1011111111101111…
…0100110100011100
322022102020121102211
42333323310310130
523043323143400
61251310330204
7142540443214
oct27773646434
98272217384
103220131100
11140275317a
1275a4b9964
133c4199824
14227949244
1513ca77dba
hexbfef4d1c

3220131100 has 72 divisors (see below), whose sum is σ = 7309719648. Its totient is φ = 1228972800.

The previous prime is 3220131059. The next prime is 3220131113. The reversal of 3220131100 is 11310223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058782 + ... + 1061818.

It is an arithmetic number, because the mean of its divisors is an integer number (101523884).

Almost surely, 23220131100 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 3220131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654859824).

3220131100 is an abundant number, since it is smaller than the sum of its proper divisors (4089588548).

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

3220131100 is a wasteful number, since it uses less digits than its factorization.

3220131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3220131100 is about 56746.1989916505. The cubic root of 3220131100 is about 1476.6962922671.

Adding to 3220131100 its reverse (11310223), we get a palindrome (3231441323).

The spelling of 3220131100 in words is "three billion, two hundred twenty million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 461 575 922 1150 1844 2300 2305 3037 4610 6074 9220 10603 11525 12148 15185 21206 23050 30370 42412 46100 53015 60740 69851 75925 106030 139702 151850 212060 265075 279404 303700 349255 530150 698510 1060300 1397020 1400057 1746275 2800114 3492550 5600228 6985100 7000285 14000570 28001140 32201311 35001425 64402622 70002850 128805244 140005700 161006555 322013110 644026220 805032775 1610065550 3220131100