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3222306040 = 235677391627
BaseRepresentation
bin1100000000010000…
…0111110011111000
322022120100002220011
43000010013303320
523044402243130
61251425111304
7142565102152
oct30004076370
98276302804
103222306040
1114039a9248
1275b188534
133c477b785
14227d53ad2
1513cd5752a
hexc0107cf8

3222306040 has 64 divisors (see below), whose sum is σ = 7372886400. Its totient is φ = 1267187328.

The previous prime is 3222306011. The next prime is 3222306047. The reversal of 3222306040 is 406032223.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222306047) 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, 1979707 + ... + 1981333.

It is an arithmetic number, because the mean of its divisors is an integer number (115201350).

Almost surely, 23222306040 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 3222306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686443200).

3222306040 is an abundant number, since it is smaller than the sum of its proper divisors (4150580360).

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

3222306040 is a wasteful number, since it uses less digits than its factorization.

3222306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3222306040 is about 56765.3595073615. The cubic root of 3222306040 is about 1477.0286807029.

Adding to 3222306040 its reverse (406032223), we get a palindrome (3628338263).

The spelling of 3222306040 in words is "three billion, two hundred twenty-two million, three hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 739 1340 1478 1627 2680 2956 3254 3695 5912 6508 7390 8135 13016 14780 16270 29560 32540 49513 65080 99026 109009 198052 218018 247565 396104 436036 495130 545045 872072 990260 1090090 1202353 1980520 2180180 2404706 4360360 4809412 6011765 9618824 12023530 24047060 48094120 80557651 161115302 322230604 402788255 644461208 805576510 1611153020 3222306040