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10234530225 = 345223375939
BaseRepresentation
bin10011000100000011…
…01000100110110001
3222102021002000010000
421202001220212301
5131430014431400
64411321300213
7511423033353
oct114201504661
928367060100
1010234530225
114382142047
121b97634669
13c7147475a
146d13730d3
153ed788600
hex2620689b1

10234530225 has 120 divisors (see below), whose sum is σ = 20320217280. Its totient is φ = 5079127680.

The previous prime is 10234530221. The next prime is 10234530239. The reversal of 10234530225 is 52203543201.

It is a happy number.

10234530225 is a `hidden beast` number, since 10 + 2 + 345 + 302 + 2 + 5 = 666.

It is not a de Polignac number, because 10234530225 - 22 = 10234530221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10234530221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1720306 + ... + 1726244.

It is an arithmetic number, because the mean of its divisors is an integer number (169335144).

Almost surely, 210234530225 is an apocalyptic number.

10234530225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10234530225 is a deficient number, since it is larger than the sum of its proper divisors (10085687055).

10234530225 is a wasteful number, since it uses less digits than its factorization.

10234530225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6021 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 10234530225 in words is "ten billion, two hundred thirty-four million, five hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 37 45 69 75 81 111 115 135 185 207 225 333 345 405 555 575 621 675 851 925 999 1035 1665 1725 1863 2025 2553 2775 2997 3105 4255 4995 5175 5939 7659 8325 9315 12765 14985 15525 17817 21275 22977 24975 29695 38295 46575 53451 63825 68931 74925 89085 114885 136597 148475 160353 191475 219743 267255 344655 409791 445425 481059 574425 659229 682985 801765 1098715 1229373 1336275 1723275 1977687 2048955 2405295 3296145 3414925 3688119 4008825 5054089 5493575 5933061 6146865 9888435 10244775 11064357 12026475 15162267 16480725 17799183 18440595 25270445 29665305 30734325 45486801 49442175 55321785 75811335 88995915 92202975 126352225 136460403 148326525 227434005 276608925 379056675 409381209 444979575 682302015 1137170025 2046906045 3411510075 10234530225