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234436420422 = 2337381173331
BaseRepresentation
bin1101101001010101111…
…1111110001101000110
3211102010021111002121000
43122111133332031012
512320111210423142
6255410522034130
722636360460121
oct3322537761506
9742107432530
10234436420422
119047327a596
1239528348946
13191518596c9
14b4bd8053b8
1561717cd14c
hex36957fe346

234436420422 has 64 divisors (see below), whose sum is σ = 528764785920. Its totient is φ = 76978900800.

The previous prime is 234436420399. The next prime is 234436420451. The reversal of 234436420422 is 224024634432.

234436420422 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 3 + 642 + 0 + 4 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3160297 + ... + 3233627.

It is an arithmetic number, because the mean of its divisors is an integer number (8261949780).

Almost surely, 2234436420422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234436420422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264382392960).

234436420422 is an abundant number, since it is smaller than the sum of its proper divisors (294328365498).

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

234436420422 is a wasteful number, since it uses less digits than its factorization.

234436420422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74226 (or 74220 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 234436420422 in words is "two hundred thirty-four billion, four hundred thirty-six million, four hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 811 1314 1622 1971 2433 3942 4866 7299 14598 21897 43794 59203 73331 118406 146662 177609 219993 355218 439986 532827 659979 1065654 1319958 1598481 1979937 3196962 3959874 5353163 10706326 16059489 32118978 48178467 59471441 96356934 118942882 144535401 178414323 289070802 356828646 535242969 1070485938 1605728907 3211457814 4341415193 8682830386 13024245579 26048491158 39072736737 78145473474 117218210211 234436420422