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21233210000 = 24544494729
BaseRepresentation
bin10011110001100110…
…010001001010010000
32000210210000211100012
4103301212101022100
5321441200210000
613430541214052
71351115210222
oct236146211220
960723024305
1021233210000
119006658a42
124146b61328
1320050291b2
141055dbc412
15844166735
hex4f1991290

21233210000 has 100 divisors (see below), whose sum is σ = 51533113500. Its totient is φ = 8472576000.

The previous prime is 21233209993. The next prime is 21233210003. The reversal of 21233210000 is 1233212.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 20063022736 + 1170187264 = 141644^2 + 34208^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (21233210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4487636 + ... + 4492364.

It is an arithmetic number, because the mean of its divisors is an integer number (515331135).

Almost surely, 221233210000 is an apocalyptic number.

21233210000 is a gapful number since it is divisible by the number (20) 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 21233210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25766556750).

21233210000 is an abundant number, since it is smaller than the sum of its proper divisors (30299903500).

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

21233210000 is an equidigital number, since it uses as much as digits as its factorization.

21233210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21233210000 its reverse (1233212), we get a palindrome (21234443212).

It can be divided in two parts, 2123 and 3210000, that added together give a palindrome (3212123).

The spelling of 21233210000 in words is "twenty-one billion, two hundred thirty-three million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 449 500 625 898 1000 1250 1796 2000 2245 2500 3592 4490 4729 5000 7184 8980 9458 10000 11225 17960 18916 22450 23645 35920 37832 44900 47290 56125 75664 89800 94580 112250 118225 179600 189160 224500 236450 280625 378320 449000 472900 561250 591125 898000 945800 1122500 1182250 1891600 2123321 2245000 2364500 2955625 4246642 4490000 4729000 5911250 8493284 9458000 10616605 11822500 16986568 21233210 23645000 33973136 42466420 47290000 53083025 84932840 106166050 169865680 212332100 265415125 424664200 530830250 849328400 1061660500 1327075625 2123321000 2654151250 4246642000 5308302500 10616605000 21233210000