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3233252000 = 25531173483
BaseRepresentation
bin1100000010110111…
…1000001010100000
322100022221012221002
43000231320022200
523110203031000
61252455451132
7143060121446
oct30055701240
98308835832
103233252000
11140a0a50a0
12762986aa8
133c6b11a84
142295a2b96
1513dcba8d5
hexc0b782a0

3233252000 has 96 divisors (see below), whose sum is σ = 8666409024. Its totient is φ = 1175712000.

The previous prime is 3233251999. The next prime is 3233252047. The reversal of 3233252000 is 2523323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7259 + ... + 80741.

It is an arithmetic number, because the mean of its divisors is an integer number (90275094).

Almost surely, 23233252000 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 3233252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333204512).

3233252000 is an abundant number, since it is smaller than the sum of its proper divisors (5433157024).

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

3233252000 is a wasteful number, since it uses less digits than its factorization.

3233252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73519 (or 73501 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 3233252000 is about 56861.6918496100. The cubic root of 3233252000 is about 1478.6992466980.

Adding to 3233252000 its reverse (2523323), we get a palindrome (3235775323).

The spelling of 3233252000 in words is "three billion, two hundred thirty-three million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 73483 146966 293932 367415 587864 734830 808313 1175728 1469660 1616626 1837075 2351456 2939320 3233252 3674150 4041565 5878640 6466504 7348300 8083130 9185375 11757280 12933008 14696600 16166260 18370750 20207825 25866016 29393200 32332520 36741500 40415650 58786400 64665040 73483000 80831300 101039125 129330080 146966000 161662600 202078250 293932000 323325200 404156500 646650400 808313000 1616626000 3233252000