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3222564540 = 223513171912791
BaseRepresentation
bin1100000000010100…
…0110111010111100
322022120211020111020
43000011012322330
523044434031130
61251434424140
7142600226616
oct30005067274
98276736436
103222564540
111404065488
1275b292050
133c483c330
14227dbddb6
1513cda8e10
hexc0146ebc

3222564540 has 192 divisors, whose sum is σ = 10831242240. Its totient is φ = 707235840.

The previous prime is 3222564509. The next prime is 3222564551. The reversal of 3222564540 is 454652223.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245545 + ... + 258335.

It is an arithmetic number, because the mean of its divisors is an integer number (56412720).

Almost surely, 23222564540 is an apocalyptic number.

3222564540 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 3222564540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415621120).

3222564540 is an abundant number, since it is smaller than the sum of its proper divisors (7608677700).

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

3222564540 is a wasteful number, since it uses less digits than its factorization.

3222564540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3222564540 is about 56767.6363784859. The cubic root of 3222564540 is about 1477.0681764035.

The spelling of 3222564540 in words is "three billion, two hundred twenty-two million, five hundred sixty-four thousand, five hundred forty".