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2262332040 = 233533156957
BaseRepresentation
bin1000011011011000…
…0111001010001000
312211122222101010120
42012312013022020
514113124111130
61012253343240
7110030335143
oct20666071210
95748871116
102262332040
11a61033601
12531797b20
132a0916c17
1417666505a
15d3930910
hex86d87288

2262332040 has 64 divisors (see below), whose sum is σ = 6807620160. Its totient is φ = 601455360.

The previous prime is 2262332011. The next prime is 2262332047. The reversal of 2262332040 is 402332622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2262332040.

It is not an unprimeable number, because it can be changed into a prime (2262332047) 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, 11242 + ... + 68198.

It is an arithmetic number, because the mean of its divisors is an integer number (106369065).

Almost surely, 22262332040 is an apocalyptic number.

2262332040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403810080).

2262332040 is an abundant number, since it is smaller than the sum of its proper divisors (4545288120).

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

2262332040 is a wasteful number, since it uses less digits than its factorization.

2262332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57302 (or 57298 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2262332040 is about 47563.9783870105. The cubic root of 2262332040 is about 1312.7603430950.

Adding to 2262332040 its reverse (402332622), we get a palindrome (2664664662).

The spelling of 2262332040 in words is "two billion, two hundred sixty-two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 39720 56957 113914 170871 227828 284785 341742 455656 569570 683484 854355 1139140 1366968 1708710 2278280 3417420 6834840 18852767 37705534 56558301 75411068 94263835 113116602 150822136 188527670 226233204 282791505 377055340 452466408 565583010 754110680 1131166020 2262332040