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223142142340 = 225131153744353
BaseRepresentation
bin1100111111010001001…
…1101110000110000100
3210022222011022022201101
43033310103232012010
512123443342023330
6250302102305444
722056445625515
oct3176423560604
9708864268641
10223142142340
11866a7a16277
12372b5a28284
1318071988820
14ab2b810a0c
155c0eeb04ca
hex33f44ee184

223142142340 has 48 divisors (see below), whose sum is σ = 505082895408. Its totient is φ = 82319376384.

The previous prime is 223142142317. The next prime is 223142142373. The reversal of 223142142340 is 43241241322.

223142142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17657625924 + 205484516416 = 132882^2 + 453304^2 .

It is a super-3 number, since 3×2231421423403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223142142299 and 223142142308.

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 15 ways as a sum of consecutive naturals, for example, 72397 + ... + 671956.

It is an arithmetic number, because the mean of its divisors is an integer number (10522560321).

Almost surely, 2223142142340 is an apocalyptic number.

223142142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223142142340 is an abundant number, since it is smaller than the sum of its proper divisors (281940753068).

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

223142142340 is a wasteful number, since it uses less digits than its factorization.

223142142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745528 (or 745526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 223142142340 its reverse (43241241322), we get a palindrome (266383383662).

The spelling of 223142142340 in words is "two hundred twenty-three billion, one hundred forty-two million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1153 2306 4612 5765 11530 14989 23060 29978 59956 74945 149890 299780 744353 1488706 2977412 3721765 7443530 9676589 14887060 19353178 38706356 48382945 96765890 193531780 858239009 1716478018 3432956036 4291195045 8582390090 11157107117 17164780180 22314214234 44628428468 55785535585 111571071170 223142142340