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2032226928 = 243319247591
BaseRepresentation
bin111100100100001…
…0101001001110000
312020121222211021000
41321020111021300
513130222230203
6533353402000
7101234433564
oct17110251160
95217884230
102032226928
11953159196
12488709300
1326504bb54
14153c876a4
15bd62b4a3
hex79215270

2032226928 has 80 divisors (see below), whose sum is σ = 6140281600. Its totient is φ = 641753280.

The previous prime is 2032226899. The next prime is 2032226929. The reversal of 2032226928 is 8296222302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2032226892 and 2032226901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032226929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115588 + ... + 132003.

It is an arithmetic number, because the mean of its divisors is an integer number (76753520).

Almost surely, 22032226928 is an apocalyptic number.

It is an amenable number.

2032226928 is an abundant number, since it is smaller than the sum of its proper divisors (4108054672).

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

2032226928 is a wasteful number, since it uses less digits than its factorization.

2032226928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247627 (or 247615 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2032226928 is about 45080.2276835421. The cubic root of 2032226928 is about 1266.6522548068.

The spelling of 2032226928 in words is "two billion, thirty-two million, two hundred twenty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 247591 495182 742773 990364 1485546 1980728 2228319 2971092 3961456 4456638 4704229 5942184 6684957 8913276 9408458 11884368 13369914 14112687 17826552 18816916 26739828 28225374 35653104 37633832 42338061 53479656 56450748 75267664 84676122 106959312 112901496 127014183 169352244 225802992 254028366 338704488 508056732 677408976 1016113464 2032226928