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235104012 = 2233111321171
BaseRepresentation
bin11100000001101…
…10011100001100
3121101101112002000
432000312130030
5440141312022
635155032300
75553231303
oct1600663414
9541345060
10235104012
1111078a140
126689b690
1339928500
142331d43a
15159906ac
hexe03670c

235104012 has 144 divisors (see below), whose sum is σ = 720639360. Its totient is φ = 65707200.

The previous prime is 235103983. The next prime is 235104029. The reversal of 235104012 is 210401532.

It is a super-2 number, since 2×2351040122 = 110547792916992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 200187 + ... + 201357.

It is an arithmetic number, because the mean of its divisors is an integer number (5004440).

Almost surely, 2235104012 is an apocalyptic number.

235104012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360319680).

235104012 is an abundant number, since it is smaller than the sum of its proper divisors (485535348).

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

235104012 is a wasteful number, since it uses less digits than its factorization.

235104012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235104012 is about 15333.1018388322. The cubic root of 235104012 is about 617.1916096296.

Adding to 235104012 its reverse (210401532), we get a palindrome (445505544).

The spelling of 235104012 in words is "two hundred thirty-five million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 198 234 286 297 338 351 396 429 468 507 572 594 676 702 858 1014 1171 1188 1287 1404 1521 1716 1859 2028 2342 2574 3042 3513 3718 3861 4563 4684 5148 5577 6084 7026 7436 7722 9126 10539 11154 12881 14052 15223 15444 16731 18252 21078 22308 25762 30446 31617 33462 38643 42156 45669 50193 51524 60892 63234 66924 77286 91338 100386 115929 126468 137007 154572 167453 182676 197899 200772 231858 274014 334906 347787 395798 411021 463716 502359 548028 593697 669812 695574 791596 822042 1004718 1187394 1391148 1507077 1644084 1781091 2009436 2176889 2374788 3014154 3562182 4353778 4521231 5343273 6028308 6530667 7124364 8707556 9042462 10686546 13061334 18084924 19592001 21373092 26122668 39184002 58776003 78368004 117552006 235104012