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225544035420 = 2232511113911129
BaseRepresentation
bin1101001000001101111…
…0001101110001011100
3210120011112220010121100
43102003132031301130
512143403233113140
6251340303233100
722203122445324
oct3220336156134
9716145803540
10225544035420
118771a801080
12378662a8790
1318365488032
14acb8804284
155d00cac530
hex348378dc5c

225544035420 has 72 divisors (see below), whose sum is σ = 746345723760. Its totient is φ = 54677341440.

The previous prime is 225544035413. The next prime is 225544035421. The reversal of 225544035420 is 24530445522.

225544035420 is a `hidden beast` number, since 2 + 25 + 54 + 40 + 3 + 542 + 0 = 666.

225544035420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2255440354202 (a number of 24 digits) contains 22 as substring.

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 (225544035421) 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 23 ways as a sum of consecutive naturals, for example, 56953585 + ... + 56957544.

It is an arithmetic number, because the mean of its divisors is an integer number (10365912830).

Almost surely, 2225544035420 is an apocalyptic number.

225544035420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225544035420 is an abundant number, since it is smaller than the sum of its proper divisors (520801688340).

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

225544035420 is a wasteful number, since it uses less digits than its factorization.

225544035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113911155 (or 113911150 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 225544035420 in words is "two hundred twenty-five billion, five hundred forty-four million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 113911129 227822258 341733387 455644516 569555645 683466774 1025200161 1139111290 1253022419 1366933548 1708666935 2050400322 2278222580 2506044838 3417333870 3759067257 4100800644 5012089676 5126000805 6265112095 6834667740 7518134514 10252001610 11277201771 12530224190 15036269028 18795336285 20504003220 22554403542 25060448380 37590672570 45108807084 56386008855 75181345140 112772017710 225544035420