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2021690232 = 23331132733
BaseRepresentation
bin111100010000000…
…1000101101111000
312012220011111122000
41320200020231320
513120023041412
6532335501000
7101046040422
oct17040105570
95186144560
102021690232
11948211881
12485087760
13262accc13
14152703812
15bc7494dc
hex78808b78

2021690232 has 96 divisors (see below), whose sum is σ = 5673673200. Its totient is φ = 667021824.

The previous prime is 2021690221. The next prime is 2021690233. The reversal of 2021690232 is 2320961202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2021690196 and 2021690205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021690233) 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 23 ways as a sum of consecutive naturals, for example, 2757738 + ... + 2758470.

Almost surely, 22021690232 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 2021690232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836836600).

2021690232 is an abundant number, since it is smaller than the sum of its proper divisors (3651982968).

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

2021690232 is a wasteful number, since it uses less digits than its factorization.

2021690232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2021690232 is about 44963.2097608701. The cubic root of 2021690232 is about 1264.4593464160.

The spelling of 2021690232 in words is "two billion, twenty-one million, six hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 733 904 1017 1356 1466 2034 2199 2712 2932 3051 4068 4398 5864 6102 6597 8136 8796 12204 12769 13194 17592 19791 24408 25538 26388 38307 39582 51076 52776 76614 79164 82829 102152 114921 153228 158328 165658 229842 248487 306456 331316 344763 459684 496974 662632 689526 745461 919368 993948 1379052 1490922 1987896 2236383 2758104 2981844 4472766 5963688 8945532 9359677 17891064 18719354 28079031 37438708 56158062 74877416 84237093 112316124 168474186 224632248 252711279 336948372 505422558 673896744 1010845116 2021690232