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3222131140 = 2251933372477
BaseRepresentation
bin1100000000001101…
…1101000111000100
322022120000012222101
43000003131013010
523044331144030
61251421241444
7142563443224
oct30003350704
98276005871
103222131140
1114038998a8
1275b103284
133c4719c97
14227d0a084
1513cd207ca
hexc00dd1c4

3222131140 has 48 divisors (see below), whose sum is σ = 6824471472. Its totient is φ = 1277853696.

The previous prime is 3222131123. The next prime is 3222131147. The reversal of 3222131140 is 411312223.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 328551876 + 2893579264 = 18126^2 + 53792^2 .

It is not an unprimeable number, because it can be changed into a prime (3222131147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1299582 + ... + 1302058.

It is an arithmetic number, because the mean of its divisors is an integer number (142176489).

Almost surely, 23222131140 is an apocalyptic number.

It is an amenable number.

3222131140 is an abundant number, since it is smaller than the sum of its proper divisors (3602340332).

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

3222131140 is a wasteful number, since it uses less digits than its factorization.

3222131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3222131140 is about 56763.8189342472. The cubic root of 3222131140 is about 1477.0019568818.

Adding to 3222131140 its reverse (411312223), we get a palindrome (3633443363).

The spelling of 3222131140 in words is "three billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 193 337 386 674 772 965 1348 1685 1930 2477 3370 3860 4954 6740 9908 12385 24770 49540 65041 130082 260164 325205 478061 650410 834749 956122 1300820 1669498 1912244 2390305 3338996 4173745 4780610 8347490 9561220 16694980 161106557 322213114 644426228 805532785 1611065570 3222131140