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202224421142442 = 23410935931900511
BaseRepresentation
bin101101111110110000001010…
…110010010111111110101010
3222112000110120121110011120000
4231332300022302113332222
5203001221103303024232
61554032341102243430
760411142450126566
oct5576601262277652
9875013517404500
10202224421142442
1159486993834086
121a820545586576
1388ab8b147345a
1437d19ddada6a6
15185a4c447027c
hexb7ec0ac97faa

202224421142442 has 80 divisors (see below), whose sum is σ = 458563479897600. Its totient is φ = 66603671206560.

The previous prime is 202224421142389. The next prime is 202224421142449. The reversal of 202224421142442 is 244241124422202.

202224421142442 is a `hidden beast` number, since 2 + 0 + 2 + 224 + 4 + 2 + 1 + 1 + 424 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 202224421142397 and 202224421142406.

It is not an unprimeable number, because it can be changed into a prime (202224421142449) 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, 9611034 + ... + 22289477.

It is an arithmetic number, because the mean of its divisors is an integer number (5732043498720).

Almost surely, 2202224421142442 is an apocalyptic number.

202224421142442 is an abundant number, since it is smaller than the sum of its proper divisors (256339058755158).

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

202224421142442 is a wasteful number, since it uses less digits than its factorization.

202224421142442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31900993 (or 31900984 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 202224421142442 its reverse (244241124422202), we get a palindrome (446465545564644).

The spelling of 202224421142442 in words is "two hundred two trillion, two hundred twenty-four billion, four hundred twenty-one million, one hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 359 654 718 981 1077 1962 2154 2943 3231 5886 6462 8829 9693 17658 19386 29079 39131 58158 78262 117393 234786 352179 704358 1056537 2113074 3169611 6339222 31900511 63801022 95701533 191403066 287104599 574209198 861313797 1722627594 2583941391 3477155699 5167882782 6954311398 10431467097 11452283449 20862934194 22904566898 31294401291 34356850347 62588802582 68713700694 93883203873 103070551041 187766407746 206141102082 281649611619 309211653123 563299223238 618423306246 927634959369 1248298895941 1855269918738 2496597791882 3744896687823 7489793375646 11234690063469 22469380126938 33704070190407 67408140380814 101112210571221 202224421142442