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233220142032 = 243181106325253
BaseRepresentation
bin1101100100110100000…
…0001111001111010000
3211021222111211202022020
43121031000033033100
512310113324021112
6255050113011440
722564261333023
oct3311500171720
9737874752266
10233220142032
118a9a9765639
1239248b53b80
1318cb9885a57
14b4060791ba
1560eeb2948c
hex364d00f3d0

233220142032 has 80 divisors (see below), whose sum is σ = 606407937408. Its totient is φ = 77234757120.

The previous prime is 233220142031. The next prime is 233220142049. The reversal of 233220142032 is 230241022332.

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 = 233220141993 and 233220142011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233220142031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9222718 + ... + 9247970.

Almost surely, 2233220142032 is an apocalyptic number.

It is an amenable number.

233220142032 is an abundant number, since it is smaller than the sum of its proper divisors (373187795376).

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

233220142032 is a wasteful number, since it uses less digits than its factorization.

233220142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26508 (or 26502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 233220142032 its reverse (230241022332), we get a palindrome (463461164364).

The spelling of 233220142032 in words is "two hundred thirty-three billion, two hundred twenty million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 181 362 543 724 1063 1086 1448 2126 2172 2896 3189 4252 4344 6378 8504 8688 12756 17008 25253 25512 50506 51024 75759 101012 151518 192403 202024 303036 384806 404048 577209 606072 769612 1154418 1212144 1539224 2308836 3078448 4570793 4617672 9141586 9235344 13712379 18283172 26843939 27424758 36566344 53687878 54849516 73132688 80531817 107375756 109699032 161063634 214751512 219398064 322127268 429503024 644254536 1288509072 4858752959 9717505918 14576258877 19435011836 29152517754 38870023672 58305035508 77740047344 116610071016 233220142032