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10229814 = 23573197
BaseRepresentation
bin100111000001…
…100000110110
3201020201200000
4213001200312
510104323224
61003132130
7152644350
oct47014066
921221600
1010229814
1158578a1
123514046
13217235a
1415040d0
15d710c9
hex9c1836

10229814 has 96 divisors (see below), whose sum is σ = 27396096. Its totient is φ = 2799360.

The previous prime is 10229803. The next prime is 10229827. The reversal of 10229814 is 41892201.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105414 + ... + 105510.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 210229814 is an apocalyptic number.

10229814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10229814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698048).

10229814 is an abundant number, since it is smaller than the sum of its proper divisors (17166282).

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

10229814 is an equidigital number, since it uses as much as digits as its factorization.

10229814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10229814 is about 3198.4080415107. The cubic root of 10229814 is about 217.0813826852.

The spelling of 10229814 in words is "ten million, two hundred twenty-nine thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 97 126 162 186 189 194 217 243 279 291 378 434 486 558 567 582 651 679 837 873 1134 1302 1358 1674 1701 1746 1953 2037 2511 2619 3007 3402 3906 4074 5022 5238 5859 6014 6111 7533 7857 9021 11718 12222 15066 15714 17577 18042 18333 21049 23571 27063 35154 36666 42098 47142 52731 54126 54999 63147 81189 105462 109998 126294 162378 164997 189441 243567 329994 378882 487134 568323 730701 1136646 1461402 1704969 3409938 5114907 10229814