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230441134232 = 23294761346453
BaseRepresentation
bin1101011010011101011…
…1001010100010011000
3211000210211122112021102
43112213113022202120
512233420412243412
6253510241130532
722435355215331
oct3264727124230
9730724575242
10230441134232
1189803015981
12387b2329a48
1318965bc873a
14b220d5b288
155edab898c2
hex35a75ca898

230441134232 has 64 divisors (see below), whose sum is σ = 463971196800. Its totient is φ = 107095242240.

The previous prime is 230441134219. The next prime is 230441134243. The reversal of 230441134232 is 232431144032.

230441134232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304411342322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 230441134195 and 230441134204.

It is a congruent number.

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, 491918 + ... + 838370.

It is an arithmetic number, because the mean of its divisors is an integer number (7249549950).

Almost surely, 2230441134232 is an apocalyptic number.

It is an amenable number.

230441134232 is an abundant number, since it is smaller than the sum of its proper divisors (233530062568).

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

230441134232 is a wasteful number, since it uses less digits than its factorization.

230441134232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346596 (or 346592 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 230441134232 its reverse (232431144032), we get a palindrome (462872278264).

The spelling of 230441134232 in words is "two hundred thirty billion, four hundred forty-one million, one hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 29 47 58 61 94 116 122 188 232 244 376 488 1363 1769 2726 2867 3538 5452 5734 7076 10904 11468 14152 22936 83143 166286 332572 346453 665144 692906 1385812 2771624 10047137 16283291 20094274 21133633 32566582 40188548 42267266 65133164 80377096 84534532 130266328 169069064 472215439 612875357 944430878 993280751 1225750714 1888861756 1986561502 2451501428 3777723512 3973123004 4903002856 7946246008 28805141779 57610283558 115220567116 230441134232