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21233000232 = 23331912973989
BaseRepresentation
bin10011110001100101…
…011101111100101000
32000210202122011121000
4103301211131330220
5321441122001412
613430532515000
71351113344523
oct236145357450
960722564530
1021233000232
119006525384
124146a7ba60
132004c84882
141055d65bba
158441244dc
hex4f195df28

21233000232 has 128 divisors (see below), whose sum is σ = 62148240000. Its totient is φ = 6698308608.

The previous prime is 21233000207. The next prime is 21233000279. The reversal of 21233000232 is 23200033212.

It is a happy number.

It is a super-2 number, since 2×212330002322 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5320894 + ... + 5324882.

It is an arithmetic number, because the mean of its divisors is an integer number (485533125).

Almost surely, 221233000232 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 21233000232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31074120000).

21233000232 is an abundant number, since it is smaller than the sum of its proper divisors (40915239768).

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

21233000232 is a wasteful number, since it uses less digits than its factorization.

21233000232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21233000232 its reverse (23200033212), we get a palindrome (44433033444).

The spelling of 21233000232 in words is "twenty-one billion, two hundred thirty-three million, two hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1297 1368 2052 2594 3891 3989 4104 5188 7782 7978 10376 11673 11967 15564 15956 23346 23934 24643 31128 31912 35019 35901 46692 47868 49286 70038 71802 73929 75791 93384 95736 98572 107703 140076 143604 147858 151582 197144 215406 221787 227373 280152 287208 295716 303164 430812 443574 454746 591432 606328 665361 682119 861624 887148 909492 1330722 1364238 1774296 1818984 2046357 2661444 2728476 4092714 5173733 5322888 5456952 8185428 10347466 15521199 16370856 20694932 31042398 41389864 46563597 62084796 93127194 98300927 124169592 139690791 186254388 196601854 279381582 294902781 372508776 393203708 558763164 589805562 786407416 884708343 1117526328 1179611124 1769416686 2359222248 2654125029 3538833372 5308250058 7077666744 10616500116 21233000232