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2232263340 = 223354133821
BaseRepresentation
bin1000010100001101…
…1010001010101100
312202120101201122000
42011003122022230
514032424411330
61005301052300
7106213632246
oct20503321254
95676351560
102232263340
11a4606653a
125236b7090
132976198a8
14172679096
15d0e91560
hex850da2ac

2232263340 has 48 divisors (see below), whose sum is σ = 6944820960. Its totient is φ = 595270080.

The previous prime is 2232263339. The next prime is 2232263357. The reversal of 2232263340 is 433622322.

2232263340 is a `hidden beast` number, since 2 + 2 + 3 + 22 + 633 + 4 + 0 = 666.

It is a super-3 number, since 3×22322633403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 2066371 + ... + 2067450.

It is an arithmetic number, because the mean of its divisors is an integer number (144683770).

Almost surely, 22232263340 is an apocalyptic number.

2232263340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232263340 is an abundant number, since it is smaller than the sum of its proper divisors (4712557620).

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

2232263340 is a wasteful number, since it uses less digits than its factorization.

2232263340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133839 (or 4133831 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2232263340 is about 47246.8341796569. The cubic root of 2232263340 is about 1306.9184098061.

Adding to 2232263340 its reverse (433622322), we get a palindrome (2665885662).

The spelling of 2232263340 in words is "two billion, two hundred thirty-two million, two hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4133821 8267642 12401463 16535284 20669105 24802926 37204389 41338210 49605852 62007315 74408778 82676420 111613167 124014630 148817556 186021945 223226334 248029260 372043890 446452668 558065835 744087780 1116131670 2232263340