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21233223132 = 223112910154919
BaseRepresentation
bin10011110001100110…
…010100010111011100
32000210210001111100120
4103301212110113130
5321441201120012
613430541354540
71351115263422
oct236146242734
960723044316
1021233223132
1190066678a0
124146b68a50
132005032174
141055dc3112
1584416a58c
hex4f19945dc

21233223132 has 96 divisors (see below), whose sum is σ = 56466547200. Its totient is φ = 6150816000.

The previous prime is 21233223127. The next prime is 21233223133. The reversal of 21233223132 is 23132233212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233223133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359169 + ... + 414087.

It is an arithmetic number, because the mean of its divisors is an integer number (588193200).

Almost surely, 221233223132 is an apocalyptic number.

21233223132 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 21233223132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28233273600).

21233223132 is an abundant number, since it is smaller than the sum of its proper divisors (35233324068).

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

21233223132 is a wasteful number, since it uses less digits than its factorization.

21233223132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55067 (or 55065 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 21233223132 its reverse (23132233212), we get a palindrome (44365456344).

The spelling of 21233223132 in words is "twenty-one billion, two hundred thirty-three million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 116 132 174 202 303 319 348 404 606 638 957 1111 1212 1276 1914 2222 2929 3333 3828 4444 5858 6666 8787 11716 13332 17574 32219 35148 54919 64438 96657 109838 128876 164757 193314 219676 329514 386628 604109 659028 1208218 1592651 1812327 2416436 3185302 3624654 4777953 5546819 6370604 7249308 9555906 11093638 16640457 17519161 19111812 22187276 33280914 35038322 52557483 61015009 66561828 70076644 105114966 122030018 160857751 183045027 210229932 244060036 321715502 366090054 482573253 643431004 732180108 965146506 1769435261 1930293012 3538870522 5308305783 7077741044 10616611566 21233223132