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3225211440 = 24351121747139
BaseRepresentation
bin1100000000111100…
…1101001000110000
322022202210201100120
43000033031020300
523101123231230
61252011250240
7142631562543
oct30017151060
98282721316
103225211440
111405603100
12760149980
133c5258049
142284ac85a
1513d22d310
hexc03cd230

3225211440 has 480 divisors, whose sum is σ = 11969233920. Its totient is φ = 715038720.

The previous prime is 3225211433. The next prime is 3225211447. The reversal of 3225211440 is 441125223.

It is an interprime number because it is at equal distance from previous prime (3225211433) and next prime (3225211447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3225211440.

It is not an unprimeable number, because it can be changed into a prime (3225211447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23202891 + ... + 23203029.

It is an arithmetic number, because the mean of its divisors is an integer number (24935904).

Almost surely, 23225211440 is an apocalyptic number.

3225211440 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 3225211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

3225211440 is an abundant number, since it is smaller than the sum of its proper divisors (8744022480).

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

3225211440 is a wasteful number, since it uses less digits than its factorization.

3225211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3225211440 is about 56790.9450528867. The cubic root of 3225211440 is about 1477.4724695040.

Adding to 3225211440 its reverse (441125223), we get a palindrome (3666336663).

The spelling of 3225211440 in words is "three billion, two hundred twenty-five million, two hundred eleven thousand, four hundred forty".