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2250150318 = 2321371167811
BaseRepresentation
bin1000011000011110…
…1001000110101110
312210211001110221200
42012013221012232
514102014302233
61011140310330
7106521651003
oct20607510656
95724043850
102250150318
11a55173269
125296a23a6
1329b2402c0
14174bb38aa
15d2826313
hex861e91ae

2250150318 has 96 divisors (see below), whose sum is σ = 5362785792. Its totient is φ = 677678400.

The previous prime is 2250150317. The next prime is 2250150349. The reversal of 2250150318 is 8130510522.

It is a happy number.

It is a super-2 number, since 2×22501503182 = 10126352907191002248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2250150291 and 2250150300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250150317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2774133 + ... + 2774943.

It is an arithmetic number, because the mean of its divisors is an integer number (55862352).

Almost surely, 22250150318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250150318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681392896).

2250150318 is an abundant number, since it is smaller than the sum of its proper divisors (3112635474).

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

2250150318 is a wasteful number, since it uses less digits than its factorization.

2250150318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2250150318 is about 47435.7493669068. The cubic root of 2250150318 is about 1310.3998775365.

The spelling of 2250150318 in words is "two billion, two hundred fifty million, one hundred fifty thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 167 213 234 334 426 501 639 811 923 1002 1278 1503 1622 1846 2171 2433 2769 3006 4342 4866 5538 6513 7299 8307 10543 11857 13026 14598 16614 19539 21086 23714 31629 35571 39078 57581 63258 71142 94887 106713 115162 135437 154141 172743 189774 213426 270874 308282 345486 406311 462423 518229 748553 812622 924846 1036458 1218933 1387269 1497106 1760681 2245659 2437866 2774538 3521362 4491318 5282043 6736977 9616027 10564086 13473954 15846129 19232054 28848081 31692258 57696162 86544243 125008351 173088486 250016702 375025053 750050106 1125075159 2250150318