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224440202142 = 232131965976603
BaseRepresentation
bin1101000100000110101…
…1011011001110011110
3210110022121211121000100
43101001223123032132
512134123142432032
6251034552241530
722133560145442
oct3210153331636
9713277747010
10224440202142
1187203708872
12375b86a02a6
131821a894650
14ac11d88822
155c88e1a97c
hex3441adb39e

224440202142 has 96 divisors (see below), whose sum is σ = 552100348800. Its totient is φ = 65323734336.

The previous prime is 224440202131. The next prime is 224440202171. The reversal of 224440202142 is 241202044422.

224440202142 is a `hidden beast` number, since 2 + 2 + 4 + 440 + 2 + 0 + 214 + 2 = 666.

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, 2891613 + ... + 2968215.

It is an arithmetic number, because the mean of its divisors is an integer number (5751045300).

Almost surely, 2224440202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224440202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276050174400).

224440202142 is an abundant number, since it is smaller than the sum of its proper divisors (327660146658).

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

224440202142 is a wasteful number, since it uses less digits than its factorization.

224440202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77302 (or 77299 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 224440202142 its reverse (241202044422), we get a palindrome (465642246564).

The spelling of 224440202142 in words is "two hundred twenty-four billion, four hundred forty million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 659 741 1318 1482 1977 2223 3954 4446 5931 8567 11862 12521 17134 25042 25701 37563 51402 75126 76603 77103 112689 153206 154206 162773 225378 229809 325546 459618 488319 689427 976638 995839 1378854 1455457 1464957 1991678 2910914 2929914 2987517 4366371 5975034 8732742 8962551 13099113 17925102 18920941 26198226 37841882 50481377 56762823 100962754 113525646 151444131 170288469 302888262 340576938 454332393 656257901 908664786 959146163 1312515802 1918292326 1968773703 2877438489 3937547406 5754876978 5906321109 8632315467 11812642218 12468900119 17264630934 24937800238 37406700357 74813400714 112220101071 224440202142