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10227036420 = 2232593760637
BaseRepresentation
bin10011000011001010…
…00011000100000100
3222101201222021112200
421201211003010010
5131421110131140
64410452514500
7511302242466
oct114145030404
928351867480
1010227036420
114378993917
121b9501ba30
13c6ca4c853
146d0382136
153ecca8030
hex261943104

10227036420 has 72 divisors (see below), whose sum is σ = 31055630424. Its totient is φ = 2724254208.

The previous prime is 10227036401. The next prime is 10227036427. The reversal of 10227036420 is 2463072201.

10227036420 is a `hidden beast` number, since 10 + 2 + 2 + 7 + 0 + 3 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1498618944 + 8728417476 = 38712^2 + 93426^2 .

It is not an unprimeable number, because it can be changed into a prime (10227036427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138342 + ... + 198978.

Almost surely, 210227036420 is an apocalyptic number.

10227036420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10227036420 is an abundant number, since it is smaller than the sum of its proper divisors (20828594004).

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

10227036420 is a wasteful number, since it uses less digits than its factorization.

10227036420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61589 (or 61584 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10227036420 in words is "ten billion, two hundred twenty-seven million, thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 937 1874 2811 3748 4685 5622 8433 9370 11244 14055 16866 18740 28110 33732 42165 56220 60637 84330 121274 168660 181911 242548 303185 363822 545733 606370 727644 909555 1091466 1212740 1819110 2182932 2728665 3638220 5457330 10914660 56816869 113633738 170450607 227267476 284084345 340901214 511351821 568168690 681802428 852253035 1022703642 1136337380 1704506070 2045407284 2556759105 3409012140 5113518210 10227036420