Search a number
-
+
20233621980 = 223251113786077
BaseRepresentation
bin10010110110000001…
…001001000111011100
31221020010010111100200
4102312001021013130
5312414301400410
613143432423500
71314256643355
oct226601110734
957203114320
1020233621980
118643396740
123b08247b90
131ba5c046b0
14d9d33ad2c
157d65173c0
hex4b60491dc

20233621980 has 144 divisors (see below), whose sum is σ = 72105362784. Its totient is φ = 4527797760.

The previous prime is 20233621979. The next prime is 20233621999. The reversal of 20233621980 is 8912633202.

20233621980 is a `hidden beast` number, since 2 + 0 + 23 + 3 + 621 + 9 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367299 + ... + 418778.

It is an arithmetic number, because the mean of its divisors is an integer number (500731686).

Almost surely, 220233621980 is an apocalyptic number.

20233621980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20233621980 is an abundant number, since it is smaller than the sum of its proper divisors (51871740804).

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

20233621980 is a wasteful number, since it uses less digits than its factorization.

20233621980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786116 (or 786111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20233621980 in words is "twenty billion, two hundred thirty-three million, six hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 786077 1572154 2358231 3144308 3930385 4716462 7074693 7860770 8646847 9432924 10219001 11791155 14149386 15721540 17293694 20438002 23582310 25940541 28298772 30657003 34587388 35373465 40876004 43234235 47164620 51095005 51881082 61314006 70746930 77821623 86468470 91971009 102190010 103762164 112409011 122628012 129702705 141493860 153285015 155643246 172936940 183942018 204380020 224818022 259405410 306570030 311286492 337227033 367884036 389108115 449636044 459855045 518810820 562045055 613140060 674454066 778216230 919710090 1011681099 1124090110 1348908132 1556432460 1686135165 1839420180 2023362198 2248180220 3372270330 4046724396 5058405495 6744540660 10116810990 20233621980