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33233130320 = 2451331954933
BaseRepresentation
bin11110111100110110…
…010101001101010000
310011210001222221101112
4132330312111031100
51021030140132240
623133405152452
72254355642525
oct367466251520
9104701887345
1033233130320
1113104265765
12653585b728
133198163670
1418739b914c
15ce78bd665
hex7bcd95350

33233130320 has 40 divisors (see below), whose sum is σ = 83210648136. Its totient is φ = 12270693888.

The previous prime is 33233130283. The next prime is 33233130341. The reversal of 33233130320 is 2303133233.

It can be written as a sum of positive squares in 4 ways, for example, as 315559696 + 32917570624 = 17764^2 + 181432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×332331303202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15976427 + ... + 15978506.

Almost surely, 233233130320 is an apocalyptic number.

It is an amenable number.

33233130320 is an abundant number, since it is smaller than the sum of its proper divisors (49977517816).

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

33233130320 is a wasteful number, since it uses less digits than its factorization.

33233130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31954959 (or 31954953 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 33233130320 its reverse (2303133233), we get a palindrome (35536263553).

The spelling of 33233130320 in words is "thirty-three billion, two hundred thirty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 31954933 63909866 127819732 159774665 255639464 319549330 415414129 511278928 639098660 830828258 1278197320 1661656516 2077070645 2556394640 3323313032 4154141290 6646626064 8308282580 16616565160 33233130320