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4022000244 = 223434935569
BaseRepresentation
bin1110111110111010…
…1101101001110100
3101101022002210010000
43233232231221310
531214113001434
61503033231300
7201445303143
oct35756555164
911338083100
104022000244
111784350349
12942b62530
134c1355402
142a223d75a
1518816db99
hexefbada74

4022000244 has 60 divisors (see below), whose sum is σ = 10544726500. Its totient is φ = 1336787712.

The previous prime is 4022000243. The next prime is 4022000249. The reversal of 4022000244 is 4420002204.

4022000244 is a `hidden beast` number, since 402 + 20 + 0 + 0 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3547631844 + 474368400 = 59562^2 + 21780^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022000243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95292 + ... + 130860.

Almost surely, 24022000244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022000244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272363250).

4022000244 is an abundant number, since it is smaller than the sum of its proper divisors (6522726256).

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

4022000244 is a wasteful number, since it uses less digits than its factorization.

4022000244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35934 (or 35923 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4022000244 is about 63419.2419065381. The cubic root of 4022000244 is about 1590.3060002013.

Adding to 4022000244 its reverse (4420002204), we get a palindrome (8442002448).

The spelling of 4022000244 in words is "four billion, twenty-two million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 349 698 1047 1396 2094 3141 4188 6282 9423 12564 18846 28269 35569 37692 56538 71138 106707 113076 142276 213414 320121 426828 640242 960363 1280484 1920726 2881089 3841452 5762178 11524356 12413581 24827162 37240743 49654324 74481486 111722229 148962972 223444458 335166687 446888916 670333374 1005500061 1340666748 2011000122 4022000244