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225703650420 = 22345373765493
BaseRepresentation
bin1101001000110011111…
…1000110010001110100
3210120120200020102020000
43102030333012101310
512144220113303140
6251404204311300
722210101242223
oct3221477062164
9716520212200
10225703650420
11877a19101a6
12378ab842530
131838c572491
14acd1ab2cba
155d0ecdaa30
hex348cfc6474

225703650420 has 120 divisors (see below), whose sum is σ = 727177139304. Its totient is φ = 58560931584.

The previous prime is 225703650401. The next prime is 225703650421. The reversal of 225703650420 is 24056307522.

225703650420 is a `hidden beast` number, since 2 + 2 + 570 + 3 + 65 + 0 + 4 + 20 = 666.

225703650420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54933046884 + 170770603536 = 234378^2 + 413244^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225703650421) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1822807 + ... + 1942686.

Almost surely, 2225703650420 is an apocalyptic number.

225703650420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225703650420 is an abundant number, since it is smaller than the sum of its proper divisors (501473488884).

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

225703650420 is a wasteful number, since it uses less digits than its factorization.

225703650420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765551 (or 3765540 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 225703650420 its reverse (24056307522), we get a palindrome (249759957942).

The spelling of 225703650420 in words is "two hundred twenty-five billion, seven hundred three million, six hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 59940 3765493 7530986 11296479 15061972 18827465 22592958 33889437 37654930 45185916 56482395 67778874 75309860 101668311 112964790 135557748 139323241 169447185 203336622 225929580 278646482 305004933 338894370 406673244 417969723 508341555 557292964 610009866 677788740 696616205 835939446 1016683110 1220019732 1253909169 1393232410 1525024665 1671878892 2033366220 2089848615 2507818338 2786464820 3050049330 3761727507 4179697230 5015636676 6100098660 6269545845 7523455014 8359394460 11285182521 12539091690 15046910028 18808637535 22570365042 25078183380 37617275070 45140730084 56425912605 75234550140 112851825210 225703650420