Search a number
-
+
33204000400 = 2452147156431
BaseRepresentation
bin11110111011000111…
…001101011010010000
310011201001011222122121
4132323013031122100
51021000211003100
623130444544024
72253553226614
oct367307153220
9104631158577
1033204000400
1113099879a4a
126527b52014
13319210471c
14186db95344
15ce506751a
hex7bb1cd690

33204000400 has 60 divisors (see below), whose sum is σ = 79828255744. Its totient is φ = 13272336000.

The previous prime is 33204000391. The next prime is 33204000407. The reversal of 33204000400 is 400040233.

It is a super-2 number, since 2×332040004002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (33204000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560185 + ... + 616615.

Almost surely, 233204000400 is an apocalyptic number.

It is an amenable number.

33204000400 is an abundant number, since it is smaller than the sum of its proper divisors (46624255344).

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

33204000400 is a wasteful number, since it uses less digits than its factorization.

33204000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57920 (or 57909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 33204000400 its reverse (400040233), we get a palindrome (33604040633).

The spelling of 33204000400 in words is "thirty-three billion, two hundred four million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1471 2942 5884 7355 11768 14710 23536 29420 36775 56431 58840 73550 112862 117680 147100 225724 282155 294200 451448 564310 588400 902896 1128620 1410775 2257240 2821550 4514480 5643100 11286200 22572400 83010001 166020002 332040004 415050005 664080008 830100010 1328160016 1660200020 2075250025 3320400040 4150500050 6640800080 8301000100 16602000200 33204000400