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2233312040 = 2352910691801
BaseRepresentation
bin1000010100011101…
…1010001100101000
312202122101000011202
42011013122030220
514033211441130
61005335343332
7106225560551
oct20507321450
95678330152
102233312040
11a46712433
12523b21b48
132978c601b
1417286d328
15d10ec145
hex851da328

2233312040 has 64 divisors (see below), whose sum is σ = 5205978000. Its totient is φ = 861235200.

The previous prime is 2233312021. The next prime is 2233312043. The reversal of 2233312040 is 402133322.

It can be written as a sum of positive squares in 8 ways, for example, as 517198564 + 1716113476 = 22742^2 + 41426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2233312043) 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, 1239140 + ... + 1240940.

Almost surely, 22233312040 is an apocalyptic number.

2233312040 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 2233312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602989000).

2233312040 is an abundant number, since it is smaller than the sum of its proper divisors (2972665960).

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

2233312040 is a wasteful number, since it uses less digits than its factorization.

2233312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2233312040 is about 47257.9309745994. The cubic root of 2233312040 is about 1307.1230378087.

Adding to 2233312040 its reverse (402133322), we get a palindrome (2635445362).

The spelling of 2233312040 in words is "two billion, two hundred thirty-three million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1069 1160 1801 2138 3602 4276 5345 7204 8552 9005 10690 14408 18010 21380 31001 36020 42760 52229 62002 72040 104458 124004 155005 208916 248008 261145 310010 417832 522290 620020 1044580 1240040 1925269 2089160 3850538 7701076 9626345 15402152 19252690 38505380 55832801 77010760 111665602 223331204 279164005 446662408 558328010 1116656020 2233312040