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3225121700 = 22521132691061
BaseRepresentation
bin1100000000111011…
…0111001110100100
322022202122011020212
43000032313032210
523101112343300
61252005314552
7142631040113
oct30016671644
98282564225
103225121700
111405551739
12760105a58
133c5226248
14228487c7a
1513d211935
hexc03b73a4

3225121700 has 72 divisors (see below), whose sum is σ = 7093374120. Its totient is φ = 1272678400.

The previous prime is 3225121681. The next prime is 3225121721. The reversal of 3225121700 is 71215223.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2407276096 + 817845604 = 49064^2 + 28598^2 .

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, 3039170 + ... + 3040230.

It is an arithmetic number, because the mean of its divisors is an integer number (98519085).

Almost surely, 23225121700 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 3225121700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546687060).

3225121700 is an abundant number, since it is smaller than the sum of its proper divisors (3868252420).

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

3225121700 is a wasteful number, since it uses less digits than its factorization.

3225121700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 3225121700 is about 56790.1549566472. The cubic root of 3225121700 is about 1477.4587660501.

Adding to 3225121700 its reverse (71215223), we get a palindrome (3296336923).

The spelling of 3225121700 in words is "three billion, two hundred twenty-five million, one hundred twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 269 452 538 565 1061 1076 1130 1345 2122 2260 2690 2825 4244 5305 5380 5650 6725 10610 11300 13450 21220 26525 26900 30397 53050 60794 106100 119893 121588 151985 239786 285409 303970 479572 570818 599465 607940 759925 1141636 1198930 1427045 1519850 2397860 2854090 2997325 3039700 5708180 5994650 7135225 11989300 14270450 28540900 32251217 64502434 129004868 161256085 322512170 645024340 806280425 1612560850 3225121700