Search a number
-
+
226525214200 = 235217139479317
BaseRepresentation
bin1101001011110111110…
…1000111010111111000
3210122200221011011212011
43102331331013113320
512202410423323300
6252021513255304
722236335360005
oct3227575072770
9718627134764
10226525214200
118808363a22a
1237a9aa04534
13184908354ac
14ad6cc528ac
155d5bec1eba
hex34bdf475f8

226525214200 has 96 divisors (see below), whose sum is σ = 561664832400. Its totient is φ = 84666378240.

The previous prime is 226525214197. The next prime is 226525214221. The reversal of 226525214200 is 2412525622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232942 + ... + 712258.

Almost surely, 2226525214200 is an apocalyptic number.

226525214200 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 226525214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280832416200).

226525214200 is an abundant number, since it is smaller than the sum of its proper divisors (335139618200).

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

226525214200 is a wasteful number, since it uses less digits than its factorization.

226525214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479489 (or 479480 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 226525214200 its reverse (2412525622), we get a palindrome (228937739822).

The spelling of 226525214200 in words is "two hundred twenty-six billion, five hundred twenty-five million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 139 170 200 278 340 425 556 680 695 850 1112 1390 1700 2363 2780 3400 3475 4726 5560 6950 9452 11815 13900 18904 23630 27800 47260 59075 94520 118150 236300 472600 479317 958634 1917268 2396585 3834536 4793170 8148389 9586340 11982925 16296778 19172680 23965850 32593556 40741945 47931700 65187112 66625063 81483890 95863400 133250126 162967780 203709725 266500252 325935560 333125315 407419450 533000504 666250630 814838900 1132626071 1332501260 1629677800 1665626575 2265252142 2665002520 3331253150 4530504284 5663130355 6662506300 9061008568 11326260710 13325012600 22652521420 28315651775 45305042840 56631303550 113262607100 226525214200