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3223330000 = 24541129303
BaseRepresentation
bin1100000000100000…
…0001110011010000
322022122021010111121
43000020001303100
523100133030000
61251503052024
7142606565362
oct30010016320
98278233447
103223330000
1114045385a0
1275b5a1014
133c4a49877
1422813cd32
1513ceaab1a
hexc0201cd0

3223330000 has 100 divisors (see below), whose sum is σ = 8513749728. Its totient is φ = 1172080000.

The previous prime is 3223329973. The next prime is 3223330003. The reversal of 3223330000 is 333223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223330003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95349 + ... + 124651.

Almost surely, 23223330000 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 3223330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256874864).

3223330000 is an abundant number, since it is smaller than the sum of its proper divisors (5290419728).

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

3223330000 is a wasteful number, since it uses less digits than its factorization.

3223330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29342 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 3223330000 is about 56774.3780238938. The cubic root of 3223330000 is about 1477.1851171282.

Adding to 3223330000 its reverse (333223), we get a palindrome (3223663223).

The spelling of 3223330000 in words is "three billion, two hundred twenty-three million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 29303 55000 58606 110000 117212 146515 234424 293030 322333 468848 586060 644666 732575 1172120 1289332 1465150 1611665 2344240 2578664 2930300 3223330 3662875 5157328 5860600 6446660 7325750 8058325 11721200 12893320 14651500 16116650 18314375 25786640 29303000 32233300 36628750 40291625 58606000 64466600 73257500 80583250 128933200 146515000 161166500 201458125 293030000 322333000 402916250 644666000 805832500 1611665000 3223330000