Search a number
-
+
230122424112 = 243737139133169
BaseRepresentation
bin1101011001010001011…
…1011000011100110000
3210222222121221101011220
43112110113120130300
512232242320032422
6253414454105040
722424435221320
oct3262427303460
9728877841156
10230122424112
118965a122289
123872364b180
1318914b79679
14b1d08b7280
155ebcbd1e5c
hex35945d8730

230122424112 has 160 divisors (see below), whose sum is σ = 702796684800. Its totient is φ = 63511547904.

The previous prime is 230122424099. The next prime is 230122424131. The reversal of 230122424112 is 211424221032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661464 + ... + 1794632.

It is an arithmetic number, because the mean of its divisors is an integer number (4392479280).

Almost surely, 2230122424112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230122424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351398342400).

230122424112 is an abundant number, since it is smaller than the sum of its proper divisors (472674260688).

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

230122424112 is a wasteful number, since it uses less digits than its factorization.

230122424112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133363 (or 133357 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 230122424112 its reverse (211424221032), we get a palindrome (441546645144).

The spelling of 230122424112 in words is "two hundred thirty billion, one hundred twenty-two million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 139 148 168 222 259 278 296 336 417 444 518 556 592 777 834 888 973 1036 1112 1554 1668 1776 1946 2072 2224 2919 3108 3336 3892 4144 5143 5838 6216 6672 7784 10286 11676 12432 15429 15568 20572 23352 30858 36001 41144 46704 61716 72002 82288 108003 123432 133169 144004 216006 246864 266338 288008 399507 432012 532676 576016 799014 864024 932183 1065352 1598028 1728048 1864366 2130704 2796549 3196056 3728732 4927253 5593098 6392112 7457464 9854506 11186196 14781759 14914928 18510491 19709012 22372392 29563518 34490771 37020982 39418024 44744784 55531473 59127036 68981542 74041964 78836048 103472313 111062946 118254072 129573437 137963084 148083928 206944626 222125892 236508144 259146874 275926168 296167856 388720311 413889252 444251784 518293748 551852336 684888167 777440622 827778504 888503568 1036587496 1369776334 1554881244 1655557008 2054664501 2073174992 2739552668 3109762488 4109329002 4794217169 5479105336 6219524976 8218658004 9588434338 10958210672 14382651507 16437316008 19176868676 28765303014 32874632016 38353737352 57530606028 76707474704 115061212056 230122424112