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2233432240 = 245135713761
BaseRepresentation
bin1000010100011111…
…0111100010110000
312202122121010001121
42011013313202300
514033224312430
61005342112024
7106226601154
oct20507674260
95678533047
102233432240
11a46794776
12523b7b614
13297938950
141728a1064
15d1122a7a
hex851f78b0

2233432240 has 80 divisors (see below), whose sum is σ = 5603453856. Its totient is φ = 822988800.

The previous prime is 2233432217. The next prime is 2233432241. The reversal of 2233432240 is 422343322.

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 (2233432241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591960 + ... + 595720.

Almost surely, 22233432240 is an apocalyptic number.

2233432240 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 2233432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801726928).

2233432240 is an abundant number, since it is smaller than the sum of its proper divisors (3370021616).

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

2233432240 is a wasteful number, since it uses less digits than its factorization.

2233432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2233432240 is about 47259.2027016961. The cubic root of 2233432240 is about 1307.1464877890.

Adding to 2233432240 its reverse (422343322), we get a palindrome (2655775562).

The spelling of 2233432240 in words is "two billion, two hundred thirty-three million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 571 1040 1142 2284 2855 3761 4568 5710 7423 7522 9136 11420 14846 15044 18805 22840 29692 30088 37115 37610 45680 48893 59384 60176 74230 75220 97786 118768 148460 150440 195572 244465 296920 300880 391144 488930 593840 782288 977860 1955720 2147531 3911440 4295062 8590124 10737655 17180248 21475310 27917903 34360496 42950620 55835806 85901240 111671612 139589515 171802480 223343224 279179030 446686448 558358060 1116716120 2233432240