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234230021322 = 2311101297111827
BaseRepresentation
bin1101101000100100110…
…0100111110011001010
3211101120220002221020220
43122021030213303022
512314200341140242
6255334230130510
722631303221353
oct3321114476312
9741526087226
10234230021322
1190377816920
123948b1b0a36
131911ab7186b
14b4a0238d2a
15615d60cbec
hex3689327cca

234230021322 has 64 divisors (see below), whose sum is σ = 516324561408. Its totient is φ = 70246440000.

The previous prime is 234230021303. The next prime is 234230021327. The reversal of 234230021322 is 223120032432.

234230021322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234230021292 and 234230021301.

It is not an unprimeable number, because it can be changed into a prime (234230021327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19798773 + ... + 19810599.

It is an arithmetic number, because the mean of its divisors is an integer number (8067571272).

Almost surely, 2234230021322 is an apocalyptic number.

234230021322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 234230021322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258162280704).

234230021322 is an abundant number, since it is smaller than the sum of its proper divisors (282094540086).

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

234230021322 is a wasteful number, since it uses less digits than its factorization.

234230021322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915.

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

Adding to 234230021322 its reverse (223120032432), we get a palindrome (457350053754).

The spelling of 234230021322 in words is "two hundred thirty-four billion, two hundred thirty million, twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 2971 3333 5942 6666 8913 11827 17826 23654 32681 35481 65362 70962 98043 130097 196086 260194 300071 390291 600142 780582 900213 1194527 1800426 2389054 3300781 3583581 6601562 7167162 9902343 13139797 19804686 26279594 35138017 39419391 70276034 78838782 105414051 210828102 386518187 773036374 1159554561 2319109122 3548939717 7097879434 10646819151 21293638302 39038336887 78076673774 117115010661 234230021322