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33242322225 = 3527313835333
BaseRepresentation
bin11110111101011001…
…011001010100110001
310011210201021221022110
4132331121121110301
51021040013302400
623134334155533
72254530035220
oct367531312461
9104721257273
1033242322225
1113109473782
126538952ba9
13319a031468
141874ccccb7
15ce85d6e50
hex7bd659531

33242322225 has 96 divisors (see below), whose sum is σ = 65019838464. Its totient is φ = 14665132800.

The previous prime is 33242322193. The next prime is 33242322277. The reversal of 33242322225 is 52222324233.

It is not a de Polignac number, because 33242322225 - 25 = 33242322193 is a prime.

It is a super-2 number, since 2×332423222252 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33242322192 and 33242322201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6230659 + ... + 6235991.

It is an arithmetic number, because the mean of its divisors is an integer number (677289984).

Almost surely, 233242322225 is an apocalyptic number.

33242322225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33242322225 is a deficient number, since it is larger than the sum of its proper divisors (31777516239).

33242322225 is a wasteful number, since it uses less digits than its factorization.

33242322225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5762 counting only the distinct ones).

The product of its digits is 34560, while the sum is 30.

Adding to 33242322225 its reverse (52222324233), we get a palindrome (85464646458).

The spelling of 33242322225 in words is "thirty-three billion, two hundred forty-two million, three hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 75 93 105 155 175 217 383 465 525 651 775 1085 1149 1915 2325 2681 3255 5333 5425 5745 8043 9575 11873 13405 15999 16275 26665 28725 35619 37331 40215 59365 67025 79995 83111 111993 133325 165323 178095 186655 201075 249333 296825 399975 415555 495969 559965 826615 890475 933275 1157261 1246665 2042539 2077775 2479845 2799825 3471783 4133075 5786305 6127617 6233325 10212695 12399225 14297773 17358915 28931525 30638085 42893319 51063475 63318709 71488865 86794575 153190425 189956127 214466595 316593545 357444325 443230963 949780635 1072332975 1329692889 1582967725 2216154815 4748903175 6648464445 11080774075 33242322225