Search a number
-
+
3221013000 = 233531956509
BaseRepresentation
bin1011111111111100…
…1100001000001000
322022110220102011210
42333333030020020
523044034404000
61251341253120
7142551105312
oct27777141010
98273812153
103221013000
1114031a5817
1275a8641a0
133c441806a
14227ad87b2
1513cb9e350
hexbffcc208

3221013000 has 128 divisors (see below), whose sum is σ = 10578672000. Its totient is φ = 813715200.

The previous prime is 3221012999. The next prime is 3221013041. The reversal of 3221013000 is 3101223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28746 + ... + 85254.

It is an arithmetic number, because the mean of its divisors is an integer number (82645875).

Almost surely, 23221013000 is an apocalyptic number.

3221013000 is a gapful number since it is divisible by the number (30) 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 3221013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289336000).

3221013000 is an abundant number, since it is smaller than the sum of its proper divisors (7357659000).

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

3221013000 is a wasteful number, since it uses less digits than its factorization.

3221013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56552 (or 56538 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3221013000 is about 56753.9690242013. The cubic root of 3221013000 is about 1476.8310879789.

Adding to 3221013000 its reverse (3101223), we get a palindrome (3224114223).

The spelling of 3221013000 in words is "three billion, two hundred twenty-one million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 56509 57000 113018 169527 226036 282545 339054 452072 565090 678108 847635 1073671 1130180 1356216 1412725 1695270 2147342 2260360 2825450 3221013 3390540 4238175 4294684 5368355 5650900 6442026 6781080 7063625 8476350 8589368 10736710 11301800 12884052 14127250 16105065 16952700 21190875 21473420 25768104 26841775 28254500 32210130 33905400 42381750 42946840 53683550 56509000 64420260 80525325 84763500 107367100 128840520 134208875 161050650 169527000 214734200 268417750 322101300 402626625 536835500 644202600 805253250 1073671000 1610506500 3221013000