Search a number
-
+
10145522250 = 232539674663
BaseRepresentation
bin10010111001011100…
…00110001001001010
3222012001120221010100
421130232012021022
5131234223203000
64354421430230
7506262342033
oct113456061112
928161527110
1010145522250
114336979036
121b7186b376
13c58bac206
146c3603a8a
153e5a55a00
hex25cb8624a

10145522250 has 96 divisors (see below), whose sum is σ = 27467751168. Its totient is φ = 2702095200.

The previous prime is 10145522237. The next prime is 10145522251. The reversal of 10145522250 is 5222554101.

10145522250 is a `hidden beast` number, since 101 + 4 + 552 + 2 + 2 + 5 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (10145522251) 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, 2173419 + ... + 2178081.

It is an arithmetic number, because the mean of its divisors is an integer number (286122408).

Almost surely, 210145522250 is an apocalyptic number.

10145522250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10145522250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733875584).

10145522250 is an abundant number, since it is smaller than the sum of its proper divisors (17322228918).

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

10145522250 is a wasteful number, since it uses less digits than its factorization.

10145522250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10145522250 in words is "ten billion, one hundred forty-five million, five hundred twenty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 750 967 1125 1934 2250 2901 4663 4835 5802 8703 9326 9670 13989 14505 17406 23315 24175 27978 29010 41967 43515 46630 48350 69945 72525 83934 87030 116575 120875 139890 145050 209835 217575 233150 241750 349725 362625 419670 435150 582875 699450 725250 1049175 1087875 1165750 1748625 2098350 2175750 3497250 4509121 5245875 9018242 10491750 13527363 22545605 27054726 40582089 45091210 67636815 81164178 112728025 135273630 202910445 225456050 338184075 405820890 563640125 676368150 1014552225 1127280250 1690920375 2029104450 3381840750 5072761125 10145522250