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2232000660 = 2235295324203
BaseRepresentation
bin1000010100001001…
…1010000010010100
312202112220101022010
42011002122002110
514032343010120
61005251304220
7106211456361
oct20502320224
95675811263
102232000660
11a459a714a
125235ab070
13297557166
1417260b468
15d0e3d7e0
hex8509a094

2232000660 has 96 divisors (see below), whose sum is σ = 6587360640. Its totient is φ = 563809792.

The previous prime is 2232000653. The next prime is 2232000677. The reversal of 2232000660 is 660002322.

It is a super-3 number, since 3×22320006603 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80119 + ... + 104321.

It is an arithmetic number, because the mean of its divisors is an integer number (68618340).

Almost surely, 22232000660 is an apocalyptic number.

2232000660 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 2232000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293680320).

2232000660 is an abundant number, since it is smaller than the sum of its proper divisors (4355359980).

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

2232000660 is a wasteful number, since it uses less digits than its factorization.

2232000660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24297 (or 24295 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2232000660 is about 47244.0542290773. The cubic root of 2232000660 is about 1306.8671442306.

Adding to 2232000660 its reverse (660002322), we get a palindrome (2892002982).

The spelling of 2232000660 in words is "two billion, two hundred thirty-two million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 145 159 174 212 265 290 318 348 435 530 580 636 795 870 1060 1537 1590 1740 3074 3180 4611 6148 7685 9222 15370 18444 23055 24203 30740 46110 48406 72609 92220 96812 121015 145218 242030 290436 363045 484060 701887 726090 1282759 1403774 1452180 2105661 2565518 2807548 3509435 3848277 4211322 5131036 6413795 7018870 7696554 8422644 10528305 12827590 14037740 15393108 19241385 21056610 25655180 37200011 38482770 42113220 74400022 76965540 111600033 148800044 186000055 223200066 372000110 446400132 558000165 744000220 1116000330 2232000660