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224132433432 = 23337252401389
BaseRepresentation
bin1101000010111101010…
…1011000011000011000
3210102112011201022201020
43100233111120120120
512133010400332212
6250544235522440
722123132151535
oct3205725303030
9712464638636
10224132433432
1187065a08666
12375315b9420
131819bba679b
14abc3151d8c
155c6bdc4d8c
hex342f558618

224132433432 has 32 divisors (see below), whose sum is σ = 575475169200. Its totient is φ = 72691599744.

The previous prime is 224132433409. The next prime is 224132433449. The reversal of 224132433432 is 234334231422.

224132433432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2241324334322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224132433393 and 224132433402.

It is a congruent number.

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, 126199807 + ... + 126201582.

Almost surely, 2224132433432 is an apocalyptic number.

It is an amenable number.

224132433432 is an abundant number, since it is smaller than the sum of its proper divisors (351342735768).

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

224132433432 is a wasteful number, since it uses less digits than its factorization.

224132433432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252401435 (or 252401431 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 224132433432 its reverse (234334231422), we get a palindrome (458466664854).

The spelling of 224132433432 in words is "two hundred twenty-four billion, one hundred thirty-two million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 252401389 504802778 757204167 1009605556 1514408334 2019211112 3028816668 6057633336 9338851393 18677702786 28016554179 37355405572 56033108358 74710811144 112066216716 224132433432