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3222232240 = 2451073371117
BaseRepresentation
bin1100000000001111…
…0101110010110000
322022120012100122211
43000003311302300
523044342412430
61251423341504
7142564344043
oct30003656260
98276170584
103222232240
111403958857
1275b151894
133c4753cc6
14227d34c5a
1513cd4072a
hexc00f5cb0

3222232240 has 80 divisors (see below), whose sum is σ = 7590933792. Its totient is φ = 1271918592.

The previous prime is 3222232229. The next prime is 3222232243. The reversal of 3222232240 is 422322223.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3222232243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2884162 + ... + 2885278.

Almost surely, 23222232240 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 3222232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795466896).

3222232240 is an abundant number, since it is smaller than the sum of its proper divisors (4368701552).

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

3222232240 is a wasteful number, since it uses less digits than its factorization.

3222232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3222232240 is about 56764.7094593111. The cubic root of 3222232240 is about 1477.0174045601.

Adding to 3222232240 its reverse (422322223), we get a palindrome (3644554463).

The spelling of 3222232240 in words is "three billion, two hundred twenty-two million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 337 428 535 674 856 1070 1117 1348 1685 1712 2140 2234 2696 3370 4280 4468 5392 5585 6740 8560 8936 11170 13480 17872 22340 26960 36059 44680 72118 89360 119519 144236 180295 239038 288472 360590 376429 478076 576944 597595 721180 752858 956152 1195190 1442360 1505716 1882145 1912304 2390380 2884720 3011432 3764290 4780760 6022864 7528580 9561520 15057160 30114320 40277903 80555806 161111612 201389515 322223224 402779030 644446448 805558060 1611116120 3222232240