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2233002040 = 2354311311489
BaseRepresentation
bin1000010100011000…
…1110100000111000
312202121210020221021
42011012032200320
514033122031130
61005324552224
7106223130013
oct20506164070
95677706837
102233002040
11a46520535
125239b2674
13297817ba9
141727cc37a
15d108a37a
hex8518e838

2233002040 has 64 divisors (see below), whose sum is σ = 5187045600. Its totient is φ = 864632832.

The previous prime is 2233002017. The next prime is 2233002049. The reversal of 2233002040 is 402003322.

It is a super-2 number, since 2×22330020402 = 9972596221288323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233002049) 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, 188616 + ... + 200104.

Almost surely, 22233002040 is an apocalyptic number.

2233002040 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 2233002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593522800).

2233002040 is an abundant number, since it is smaller than the sum of its proper divisors (2954043560).

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

2233002040 is a wasteful number, since it uses less digits than its factorization.

2233002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2233002040 is about 47254.6509880244. The cubic root of 2233002040 is about 1307.0625556064.

Adding to 2233002040 its reverse (402003322), we get a palindrome (2635005362).

The spelling of 2233002040 in words is "two billion, two hundred thirty-three million, two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 113 172 215 226 344 430 452 565 860 904 1130 1720 2260 4520 4859 9718 11489 19436 22978 24295 38872 45956 48590 57445 91912 97180 114890 194360 229780 459560 494027 988054 1298257 1976108 2470135 2596514 3952216 4940270 5193028 6491285 9880540 10386056 12982570 19761080 25965140 51930280 55825051 111650102 223300204 279125255 446600408 558250510 1116501020 2233002040