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252250442220 = 22357883680177
BaseRepresentation
bin1110101011101101001…
…1000100100111101100
3220010002202201011111010
43222323103010213230
513113102103122340
6311514322225220
724140000244540
oct3527323044754
9803082634433
10252250442220
1197a84886857
1240a7a1b5210
131aa303a1cca
14c2cd65da20
15686569bb80
hex3abb4c49ec

252250442220 has 96 divisors (see below), whose sum is σ = 808116761088. Its totient is φ = 57591862272.

The previous prime is 252250442207. The next prime is 252250442221. The reversal of 252250442220 is 22244052252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (252250442221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30772 + ... + 710948.

It is an arithmetic number, because the mean of its divisors is an integer number (8417882928).

Almost surely, 2252250442220 is an apocalyptic number.

252250442220 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 252250442220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404058380544).

252250442220 is an abundant number, since it is smaller than the sum of its proper divisors (555866318868).

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

252250442220 is a wasteful number, since it uses less digits than its factorization.

252250442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681079 (or 681077 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 252250442220 its reverse (22244052252), we get a palindrome (274494494472).

The spelling of 252250442220 in words is "two hundred fifty-two billion, two hundred fifty million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 883 1766 2649 3532 4415 5298 6181 8830 10596 12362 13245 17660 18543 24724 26490 30905 37086 52980 61810 74172 92715 123620 185430 370860 680177 1360354 2040531 2720708 3400885 4081062 4761239 6801770 8162124 9522478 10202655 13603540 14283717 19044956 20405310 23806195 28567434 40810620 47612390 57134868 71418585 95224780 142837170 285674340 600596291 1201192582 1801788873 2402385164 3002981455 3603577746 4204174037 6005962910 7207155492 8408348074 9008944365 12011925820 12612522111 16816696148 18017888730 21020870185 25225044222 36035777460 42041740370 50450088444 63062610555 84083480740 126125221110 252250442220