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368224542 = 23472911197
BaseRepresentation
bin10101111100101…
…010100100011110
3221122212202010000
4111330222210132
51223231141132
6100312155130
712060566640
oct2574524436
9848782100
10368224542
11179942604
12a3398aa6
135b39745a
1436c92890
15224d887c
hex15f2a91e

368224542 has 80 divisors (see below), whose sum is σ = 975569760. Its totient is φ = 101570112.

The previous prime is 368224517. The next prime is 368224543. The reversal of 368224542 is 245422863.

368224542 is a `hidden beast` number, since 36 + 82 + 2 + 4 + 542 = 666.

It is a super-2 number, since 2×3682245422 = 271178626662219528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368224497 and 368224506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368224543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27288 + ... + 38484.

It is an arithmetic number, because the mean of its divisors is an integer number (12194622).

Almost surely, 2368224542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368224542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487784880).

368224542 is an abundant number, since it is smaller than the sum of its proper divisors (607345218).

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

368224542 is a wasteful number, since it uses less digits than its factorization.

368224542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11247 (or 11238 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 368224542 is about 19189.1777312109. The cubic root of 368224542 is about 716.7552954268.

It can be divided in two parts, 3682 and 24542, that added together give a square (28224 = 1682).

The spelling of 368224542 in words is "three hundred sixty-eight million, two hundred twenty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 1134 1218 1566 1827 2349 3654 4698 5481 10962 11197 16443 22394 32886 33591 67182 78379 100773 156758 201546 235137 302319 324713 470274 604638 649426 705411 906957 974139 1410822 1813914 1948278 2116233 2272991 2922417 4232466 4545982 5844834 6348699 6818973 8767251 12697398 13637946 17534502 20456919 26301753 40913838 52603506 61370757 122741514 184112271 368224542