Search a number
-
+
10226357520 = 2435231852601
BaseRepresentation
bin10011000011000100…
…11101010100010000
3222101200200210021020
421201202131110100
5131420421420040
64410430155440
7511263414261
oct114142352420
928350623236
1010226357520
11437856a845
121b94952b80
13c6c872832
146d0246968
153ecbc1cd0
hex26189d510

10226357520 has 80 divisors (see below), whose sum is σ = 33080061312. Its totient is φ = 2608460800.

The previous prime is 10226357513. The next prime is 10226357521. The reversal of 10226357520 is 2575362201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10226357521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920781 + ... + 931820.

Almost surely, 210226357520 is an apocalyptic number.

10226357520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10226357520 is an abundant number, since it is smaller than the sum of its proper divisors (22853703792).

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

10226357520 is a wasteful number, since it uses less digits than its factorization.

10226357520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852640 (or 1852634 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 10226357520 in words is "ten billion, two hundred twenty-six million, three hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 1852601 3705202 5557803 7410404 9263005 11115606 14820808 18526010 22231212 27789015 29641616 37052020 42609823 44462424 55578030 74104040 85219646 88924848 111156060 127829469 148208080 170439292 213049115 222312120 255658938 340878584 426098230 444624240 511317876 639147345 681757168 852196460 1022635752 1278294690 1704392920 2045271504 2556589380 3408785840 5113178760 10226357520