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33204230144 = 21174321821
BaseRepresentation
bin11110111011001000…
…000101100000000000
310011201001121122210122
4132323020011200000
51021000240331034
623130453515412
72253555204461
oct367310054000
9104631548718
1033204230144
1113099a16618
126528042b68
133192185177
14186dc14d68
15ce50b062e
hex7bb205800

33204230144 has 48 divisors (see below), whose sum is σ = 66484650960. Its totient is φ = 16579010560.

The previous prime is 33204230141. The next prime is 33204230161. The reversal of 33204230144 is 44103240233.

It is a super-2 number, since 2×332042301442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33204230141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1510754 + ... + 1532574.

It is an arithmetic number, because the mean of its divisors is an integer number (1385096895).

Almost surely, 233204230144 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 33204230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33242325480).

33204230144 is an abundant number, since it is smaller than the sum of its proper divisors (33280420816).

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

33204230144 is an equidigital number, since it uses as much as digits as its factorization.

33204230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22586 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 33204230144 its reverse (44103240233), we get a palindrome (77307470377).

The spelling of 33204230144 in words is "thirty-three billion, two hundred four million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 743 1024 1486 2048 2972 5944 11888 21821 23776 43642 47552 87284 95104 174568 190208 349136 380416 698272 760832 1396544 1521664 2793088 5586176 11172352 16213003 22344704 32426006 44689408 64852012 129704024 259408048 518816096 1037632192 2075264384 4150528768 8301057536 16602115072 33204230144