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3224006461 = 131571579621
BaseRepresentation
bin1100000000101010…
…0110111100111101
322022200112111102201
43000022212330331
523100321201321
61251525351501
7142615413514
oct30012467475
98280474381
103224006461
11140495a855
1275b868591
133c4c25740
1422827767b
1513d091291
hexc02a6f3d

3224006461 has 8 divisors (see below), whose sum is σ = 3494123864. Its totient is φ = 2957048640.

The previous prime is 3224006453. The next prime is 3224006543. The reversal of 3224006461 is 1646004223.

3224006461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 149303961 + 3074702500 = 12219^2 + 55450^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3224006461 - 23 = 3224006453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224006161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787770 + ... + 791851.

It is an arithmetic number, because the mean of its divisors is an integer number (436765483).

Almost surely, 23224006461 is an apocalyptic number.

It is an amenable number.

3224006461 is a deficient number, since it is larger than the sum of its proper divisors (270117403).

3224006461 is a wasteful number, since it uses less digits than its factorization.

3224006461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579791.

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3224006461 is about 56780.3351610397. The cubic root of 3224006461 is about 1477.2884459038.

The spelling of 3224006461 in words is "three billion, two hundred twenty-four million, six thousand, four hundred sixty-one".

Divisors: 1 13 157 2041 1579621 20535073 248000497 3224006461