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250022140240 = 245171972274111
BaseRepresentation
bin1110100011011001111…
…0110001100101010000
3212220100110202200211011
43220312132301211100
513044021131441430
6310505242100304
724030532061365
oct3506636614520
9786313680734
10250022140240
1197040a86574
1240557aaa694
131a766841522
14c15b73646c
156784c3e22a
hex3a367b1950

250022140240 has 160 divisors (see below), whose sum is σ = 621496364544. Its totient is φ = 93212958720.

The previous prime is 250022140237. The next prime is 250022140253. The reversal of 250022140240 is 42041220052.

250022140240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2500221402402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60815785 + ... + 60819895.

Almost surely, 2250022140240 is an apocalyptic number.

250022140240 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 250022140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310748182272).

250022140240 is an abundant number, since it is smaller than the sum of its proper divisors (371474224304).

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

250022140240 is a wasteful number, since it uses less digits than its factorization.

250022140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 250022140240 its reverse (42041220052), we get a palindrome (292063360292).

The spelling of 250022140240 in words is "two hundred fifty billion, twenty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 197 227 272 340 394 454 680 788 908 985 1135 1360 1576 1816 1970 2270 3152 3349 3632 3859 3940 4111 4540 6698 7718 7880 8222 9080 13396 15436 15760 16444 16745 18160 19295 20555 26792 30872 32888 33490 38590 41110 44719 53584 61744 65776 66980 69887 77180 82220 89438 133960 139774 154360 164440 178876 223595 267920 279548 308720 328880 349435 357752 447190 559096 698870 715504 760223 809867 894380 933197 1118192 1397740 1520446 1619734 1788760 1866394 2795480 3040892 3239468 3577520 3732788 3801115 4049335 4665985 5590960 6081784 6478936 7465576 7602230 8098670 9331970 12163568 12957872 13767739 14931152 15204460 15864349 16197340 18663940 27535478 30408920 31728698 32394680 37327880 55070956 60817840 63457396 64789360 68838695 74655760 79321745 110141912 126914792 137677390 158643490 183839809 220283824 253829584 275354780 317286980 367679618 550709560 634573960 735359236 919199045 1101419120 1269147920 1470718472 1838398090 2941436944 3125276753 3676796180 6250553506 7353592360 12501107012 14707184720 15626383765 25002214024 31252767530 50004428048 62505535060 125011070120 250022140240