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230012210032 = 24117166127847
BaseRepresentation
bin1101011000110111001…
…0111100101101110000
3210222200221112220212221
43112031302330231300
512232031111210112
6253355515530424
722421626345423
oct3261562745560
9728627486787
10230012210032
1189602994870
12386b2759a14
13188c809aa37
14b1bddc79ba
155eb31b0e07
hex358dcbcb70

230012210032 has 80 divisors (see below), whose sum is σ = 493773110784. Its totient is φ = 102918816000.

The previous prime is 230012209997. The next prime is 230012210047.

230012210032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 230012209988 and 230012210015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8245933 + ... + 8273779.

Almost surely, 2230012210032 is an apocalyptic number.

230012210032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230012210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246886555392).

230012210032 is an abundant number, since it is smaller than the sum of its proper divisors (263760900752).

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

230012210032 is a wasteful number, since it uses less digits than its factorization.

230012210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28598 (or 28592 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 230012 and 210032, that added together give a palindrome (440044).

The spelling of 230012210032 in words is "two hundred thirty billion, twelve million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 661 781 1136 1322 1562 2644 3124 5288 6248 7271 10576 12496 14542 27847 29084 46931 55694 58168 93862 111388 116336 187724 222776 306317 375448 445552 516241 612634 750896 1032482 1225268 1977137 2064964 2450536 3954274 4129928 4901072 7908548 8259856 15817096 18406867 21748507 31634192 36813734 43497014 73627468 86994028 147254936 173988056 202475537 294509872 347976112 404951074 809902148 1306887557 1619804296 2613775114 3239608592 5227550228 10455100456 14375763127 20910200912 28751526254 57503052508 115006105016 230012210032