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2023891020 = 22325191135237
BaseRepresentation
bin111100010100010…
…0010000001001100
312020001022022112200
41320220202001030
513121104003040
6532455001500
7101103534624
oct17050420114
95201268480
102023891020
11949485308
12485969290
132633c0868
14152b17884
15bca31630
hex78a2204c

2023891020 has 144 divisors (see below), whose sum is σ = 6520681440. Its totient is φ = 506677248.

The previous prime is 2023890991. The next prime is 2023891069. The reversal of 2023891020 is 201983202.

It is a happy number.

It is a super-2 number, since 2×20238910202 = 8192269721673280800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383842 + ... + 389078.

It is an arithmetic number, because the mean of its divisors is an integer number (45282510).

Almost surely, 22023891020 is an apocalyptic number.

2023891020 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 2023891020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260340720).

2023891020 is an abundant number, since it is smaller than the sum of its proper divisors (4496790420).

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

2023891020 is a wasteful number, since it uses less digits than its factorization.

2023891020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2023891020 is about 44987.6763125192. The cubic root of 2023891020 is about 1264.9180051735.

The spelling of 2023891020 in words is "two billion, twenty-three million, eight hundred ninety-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 855 1017 1130 1140 1356 1695 1710 2034 2147 2260 3390 3420 4068 4294 5085 5237 6441 6780 8588 10170 10474 10735 12882 15711 19323 20340 20948 21470 25764 26185 31422 32205 38646 42940 47133 52370 62844 64410 77292 78555 94266 96615 99503 104740 128820 157110 188532 193230 199006 235665 298509 314220 386460 398012 471330 497515 591781 597018 895527 942660 995030 1183562 1194036 1492545 1775343 1791054 1990060 2367124 2958905 2985090 3550686 3582108 4477635 5326029 5917810 5970180 7101372 8876715 8955270 10652058 11243839 11835620 17753430 17910540 21304116 22487678 26630145 33731517 35506860 44975356 53260290 56219195 67463034 101194551 106520580 112438390 134926068 168657585 202389102 224876780 337315170 404778204 505972755 674630340 1011945510 2023891020