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235222542 = 23537103127
BaseRepresentation
bin11100000010100…
…11011000001110
3121101121112200000
432001103120032
5440204110132
635201345130
75554234002
oct1601233016
9541545600
10235222542
111108601a5
12669381a6
133996a449
1423350702
15159b587c
hexe05360e

235222542 has 96 divisors (see below), whose sum is σ = 552394752. Its totient is φ = 74952864.

The previous prime is 235222511. The next prime is 235222549. The reversal of 235222542 is 245222532.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235222549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1852083 + ... + 1852209.

It is an arithmetic number, because the mean of its divisors is an integer number (5754112).

Almost surely, 2235222542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235222542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276197376).

235222542 is an abundant number, since it is smaller than the sum of its proper divisors (317172210).

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

235222542 is a wasteful number, since it uses less digits than its factorization.

235222542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 235222542 is about 15336.9665188394. The cubic root of 235222542 is about 617.2953132773.

The spelling of 235222542 in words is "two hundred thirty-five million, two hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 103 111 127 162 206 222 243 254 309 333 381 486 618 666 762 927 999 1143 1854 1998 2286 2781 2997 3429 3811 4699 5562 5994 6858 7622 8343 8991 9398 10287 11433 13081 14097 16686 17982 20574 22866 25029 26162 28194 30861 34299 39243 42291 50058 61722 68598 78486 84582 102897 117729 126873 205794 235458 253746 308691 353187 380619 483997 617382 706374 761238 926073 967994 1059561 1141857 1451991 1852146 2119122 2283714 2903982 3178683 4355973 6357366 8711946 13067919 26135838 39203757 78407514 117611271 235222542