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230220011322 = 2357242122963
BaseRepresentation
bin1101011001101000101…
…1101001011100111010
3211000020102120022200000
43112122023221130322
512232442310330242
6253432301453430
722430031544200
oct3263213513472
9730212508600
10230220011322
11896aa215a74
1238750271276
131892c156b92
14b1dd83b070
155ec655ba4c
hex359a2e973a

230220011322 has 144 divisors (see below), whose sum is σ = 603194653152. Its totient is φ = 65618048160.

The previous prime is 230220011317. The next prime is 230220011393. The reversal of 230220011322 is 223110022032.

It is a super-2 number, since 2×2302200113222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230220011295 and 230220011304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10014213 + ... + 10037175.

It is an arithmetic number, because the mean of its divisors is an integer number (4188851758).

Almost surely, 2230220011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230220011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301597326576).

230220011322 is an abundant number, since it is smaller than the sum of its proper divisors (372974641830).

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

230220011322 is a wasteful number, since it uses less digits than its factorization.

230220011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23415 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230220011322 its reverse (223110022032), we get a palindrome (453330033354).

The spelling of 230220011322 in words is "two hundred thirty billion, two hundred twenty million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 421 441 486 567 842 882 1134 1263 1323 1701 2526 2646 2947 3402 3789 3969 5894 7578 7938 8841 11367 11907 17682 20629 22734 22963 23814 26523 34101 41258 45926 53046 61887 68202 68889 79569 102303 123774 137778 159138 160741 185661 204606 206667 238707 321482 371322 413334 477414 482223 556983 620001 716121 964446 1113966 1125187 1240002 1432242 1446669 1670949 1860003 2250374 2893338 3341898 3375561 3720006 4340007 5012847 5580009 6751122 8680014 9667423 10025694 10126683 11160018 13020021 19334846 20253366 26040042 29002269 30380049 39060063 58004538 60760098 67671961 78120126 87006807 91140147 135343922 174013614 182280294 203015883 261020421 273420441 406031766 473703727 522040842 546840882 609047649 783061263 947407454 1218095298 1421111181 1566122526 1827142947 2349183789 2842222362 3654285894 4263333543 4698367578 5481428841 8526667086 10962857682 12790000629 16444286523 25580001258 32888573046 38370001887 76740003774 115110005661 230220011322