Search a number
-
+
223012137120024 = 23372401955266797
BaseRepresentation
bin110010101101010000001111…
…001101101011000100011000
31002020121202022021111102100010
4302231100033031223010120
5213212312324100320044
62110150210023441520
764655044440404220
oct6255201715530430
91066552267442303
10223012137120024
1165070a09542a6a
12210192b55b62a0
139758c53776825
143d0dbb8a8b080
151abb0cde72bb9
hexcad40f36b118

223012137120024 has 64 divisors (see below), whose sum is σ = 637204074220800. Its totient is φ = 63715099503744.

The previous prime is 223012137120023. The next prime is 223012137120029. The reversal of 223012137120024 is 420021731210322.

It is a super-3 number, since 3×2230121371200243 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223012137119973 and 223012137120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223012137120023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23598207 + ... + 31668590.

It is an arithmetic number, because the mean of its divisors is an integer number (9956313659700).

Almost surely, 2223012137120024 is an apocalyptic number.

223012137120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223012137120024 is an abundant number, since it is smaller than the sum of its proper divisors (414191937100776).

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

223012137120024 is a wasteful number, since it uses less digits than its factorization.

223012137120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55290832 (or 55290828 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 223012137120024 its reverse (420021731210322), we get a palindrome (643033868330346).

The spelling of 223012137120024 in words is "two hundred twenty-three trillion, twelve billion, one hundred thirty-seven million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 24019 48038 72057 96076 144114 168133 192152 288228 336266 504399 576456 672532 1008798 1345064 2017596 4035192 55266797 110533594 165800391 221067188 331600782 386867579 442134376 663201564 773735158 1160602737 1326403128 1547470316 2321205474 3094940632 4642410948 9284821896 1327453197143 2654906394286 3982359591429 5309812788572 7964719182858 9292172380001 10619625577144 15929438365716 18584344760002 27876517140003 31858876731432 37168689520004 55753034280006 74337379040008 111506068560012 223012137120024