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21233144322 = 232134317911789
BaseRepresentation
bin10011110001100110…
…000001001000000010
32000210202220111020200
4103301212001020002
5321441141104242
613430535550030
71351114514565
oct236146011002
960722814220
1021233144322
119006613665
124146b2b316
132005005330
141055da24dc
1584415204c
hex4f1981202

21233144322 has 96 divisors (see below), whose sum is σ = 50983732800. Its totient is φ = 6345150336.

The previous prime is 21233144227. The next prime is 21233144327. The reversal of 21233144322 is 22344133212.

21233144322 is a `hidden beast` number, since 2 + 1 + 2 + 331 + 4 + 4 + 322 = 666.

It is not an unprimeable number, because it can be changed into a prime (21233144327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795204 + ... + 1806992.

It is an arithmetic number, because the mean of its divisors is an integer number (531080550).

Almost surely, 221233144322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233144322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491866400).

21233144322 is an abundant number, since it is smaller than the sum of its proper divisors (29750588478).

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

21233144322 is a wasteful number, since it uses less digits than its factorization.

21233144322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12032 (or 12029 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 21233144322 its reverse (22344133212), we get a palindrome (43577277534).

The spelling of 21233144322 in words is "twenty-one billion, two hundred thirty-three million, one hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 179 234 258 358 387 537 559 774 1074 1118 1611 1677 2327 3222 3354 4654 5031 6981 7697 10062 11789 13962 15394 20943 23091 23578 35367 41886 46182 69273 70734 100061 106101 138546 153257 200122 212202 300183 306514 459771 506927 600366 900549 919542 1013854 1379313 1520781 1801098 2110231 2758626 3041562 4220462 4562343 6330693 6590051 9124686 12661386 13180102 18992079 19770153 27433003 37984158 39540306 54866006 59310459 82299009 90739933 118620918 164598018 181479866 246897027 272219799 493794054 544439598 816659397 1179619129 1633318794 2359238258 3538857387 7077714774 10616572161 21233144322