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234214002024 = 23352009187639
BaseRepresentation
bin1101101000100000111…
…1100000110101101000
3211101112202222001220120
43122020033200311220
512314132241031044
6255332454523240
722631020112022
oct3321017406550
9741482861816
10234214002024
1190369775332
1239485966520
13191177532a2
14b49c069012
15615bee6519
hex36883e0d68

234214002024 has 32 divisors (see below), whose sum is σ = 585549384000. Its totient is φ = 78069416832.

The previous prime is 234214002019. The next prime is 234214002053. The reversal of 234214002024 is 420200412432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234214001985 and 234214002003.

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, 1154397 + ... + 1342035.

It is an arithmetic number, because the mean of its divisors is an integer number (18298418250).

Almost surely, 2234214002024 is an apocalyptic number.

234214002024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234214002024 is an abundant number, since it is smaller than the sum of its proper divisors (351335381976).

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

234214002024 is a wasteful number, since it uses less digits than its factorization.

234214002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239657 (or 239653 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 234214002024 its reverse (420200412432), we get a palindrome (654414414456).

The spelling of 234214002024 in words is "two hundred thirty-four billion, two hundred fourteen million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 52009 104018 156027 187639 208036 312054 375278 416072 562917 624108 750556 1125834 1248216 1501112 2251668 4503336 9758916751 19517833502 29276750253 39035667004 58553500506 78071334008 117107001012 234214002024