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33012212224 = 29374194159
BaseRepresentation
bin11110101111101011…
…100110001000000000
310011012200022010201211
4132233223212020000
51020102111242344
623055434135504
72246034113455
oct365753461000
9104180263654
1033012212224
1113000595722
126493881594
1331614640b4
14185250d82c
15cd32d1334
hex7afae6200

33012212224 has 80 divisors (see below), whose sum is σ = 67920652800. Its totient is φ = 16017813504.

The previous prime is 33012212197. The next prime is 33012212231. The reversal of 33012212224 is 42221221033.

It is a junction number, because it is equal to n+sod(n) for n = 33012212195 and 33012212204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7935457 + ... + 7939615.

It is an arithmetic number, because the mean of its divisors is an integer number (849008160).

Almost surely, 233012212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33012212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33960326400).

33012212224 is an abundant number, since it is smaller than the sum of its proper divisors (34908440576).

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

33012212224 is an equidigital number, since it uses as much as digits as its factorization.

33012212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33012212224 its reverse (42221221033), we get a palindrome (75233433257).

The spelling of 33012212224 in words is "thirty-three billion, twelve million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 419 512 592 838 1184 1676 2368 3352 4159 4736 6704 8318 9472 13408 15503 16636 18944 26816 31006 33272 53632 62012 66544 107264 124024 133088 153883 214528 248048 266176 307766 496096 532352 615532 992192 1064704 1231064 1742621 1984384 2129408 2462128 3485242 3968768 4924256 6970484 7937536 9848512 13940968 19697024 27881936 39394048 55763872 64476977 78788096 111527744 128953954 223055488 257907908 446110976 515815816 892221952 1031631632 2063263264 4126526528 8253053056 16506106112 33012212224