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233414312140 = 22531376474697
BaseRepresentation
bin1101100101100010010…
…0111100000011001100
3211022111001012121121201
43121120210330003030
512311013030442030
6255121250435244
722602136626442
oct3313044740314
9738431177551
10233414312140
118aa993264a9
12392a1b92b24
131901ab7b5c9
14b423b80b92
156111bd12ca
hex365893c0cc

233414312140 has 24 divisors (see below), whose sum is σ = 505981994112. Its totient is φ = 90353927040.

The previous prime is 233414312129. The next prime is 233414312149. The reversal of 233414312140 is 41213414332.

It is a happy number.

It is a super-2 number, since 2×2334143121402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233414312099 and 233414312108.

It is not an unprimeable number, because it can be changed into a prime (233414312149) 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 7 ways as a sum of consecutive naturals, for example, 188236729 + ... + 188237968.

It is an arithmetic number, because the mean of its divisors is an integer number (21082583088).

Almost surely, 2233414312140 is an apocalyptic number.

233414312140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233414312140 is an abundant number, since it is smaller than the sum of its proper divisors (272567681972).

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

233414312140 is a wasteful number, since it uses less digits than its factorization.

233414312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376474737 (or 376474735 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 233414312140 its reverse (41213414332), we get a palindrome (274627726472).

The spelling of 233414312140 in words is "two hundred thirty-three billion, four hundred fourteen million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 376474697 752949394 1505898788 1882373485 3764746970 7529493940 11670715607 23341431214 46682862428 58353578035 116707156070 233414312140