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33122440530 = 23252365924281
BaseRepresentation
bin11110110110010000…
…000101010101010010
310011111100201022112200
4132312100011111102
51020313321044110
623114412504030
72251543046004
oct366620052522
9104440638480
1033122440530
11130578328a3
12650477b016
13317b24934a
141863004374
15cdcd066c0
hex7b6405552

33122440530 has 96 divisors (see below), whose sum is σ = 90002689920. Its totient is φ = 8435454720.

The previous prime is 33122440499. The next prime is 33122440573. The reversal of 33122440530 is 3504422133.

33122440530 is a `hidden beast` number, since 3 + 3 + 1 + 224 + 405 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33122440494 and 33122440503.

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, 1351990 + ... + 1376270.

It is an arithmetic number, because the mean of its divisors is an integer number (937528020).

Almost surely, 233122440530 is an apocalyptic number.

33122440530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122440530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45001344960).

33122440530 is an abundant number, since it is smaller than the sum of its proper divisors (56880249390).

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

33122440530 is a wasteful number, since it uses less digits than its factorization.

33122440530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24976 (or 24973 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 33122440530 its reverse (3504422133), we get a palindrome (36626862663).

The spelling of 33122440530 in words is "thirty-three billion, one hundred twenty-two million, four hundred forty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 659 690 1035 1318 1977 2070 3295 3954 5931 6590 9885 11862 15157 19770 24281 29655 30314 45471 48562 59310 72843 75785 90942 121405 136413 145686 151570 218529 227355 242810 272826 364215 437058 454710 558463 682065 728430 1092645 1116926 1364130 1675389 2185290 2792315 3350778 5026167 5584630 8376945 10052334 16001179 16753890 25130835 32002358 48003537 50261670 80005895 96007074 144010611 160011790 240017685 288021222 368027117 480035370 720053055 736054234 1104081351 1440106110 1840135585 2208162702 3312244053 3680271170 5520406755 6624488106 11040813510 16561220265 33122440530