Search a number
-
+
433002022020 = 2232543921432557
BaseRepresentation
bin1100100110100001110…
…11101000010010000100
31112101122122200210101200
412103100323220102010
524043242004201040
6530530212022500
743166123313441
oct6232073502204
91471578623350
10433002022020
111576a9397a67
126bb03601a30
1331aa7945119
1416d591bc9c8
15b3e3d65630
hex64d0ee8484

433002022020 has 144 divisors (see below), whose sum is σ = 1317560724480. Its totient is φ = 115105390848.

The previous prime is 433002021967. The next prime is 433002022031. The reversal of 433002022020 is 20220200334.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 433002021984 and 433002022002.

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, 169338582 + ... + 169341138.

Almost surely, 2433002022020 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 433002022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658780362240).

433002022020 is an abundant number, since it is smaller than the sum of its proper divisors (884558702460).

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

433002022020 is a wasteful number, since it uses less digits than its factorization.

433002022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 433002022020 its reverse (20220200334), we get a palindrome (453222222354).

The spelling of 433002022020 in words is "four hundred thirty-three billion, two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2143 2195 2557 2634 3951 4286 4390 5114 5268 6429 6585 7671 7902 8572 8780 10228 10715 12785 12858 13170 15342 15804 19287 19755 21430 23013 25570 25716 26340 30684 32145 38355 38574 39510 42860 46026 51140 64290 76710 77148 79020 92052 96435 115065 128580 153420 192870 230130 385740 460260 940777 1122523 1881554 2245046 2822331 3367569 3763108 4490092 4703885 5479651 5612615 5644662 6735138 8466993 9407770 10102707 10959302 11225230 11289324 13470276 14111655 16438953 16837845 16933986 18815540 20205414 21918604 22450460 27398255 28223310 32877906 33675690 33867972 40410828 42334965 49316859 50513535 54796510 56446620 65755812 67351380 82194765 84669930 98633718 101027070 109593020 164389530 169339860 197267436 202054140 246584295 328779060 493168590 986337180 2405566789 4811133578 7216700367 9622267156 12027833945 14433400734 21650101101 24055667890 28866801468 36083501835 43300202202 48111335780 72167003670 86600404404 108250505505 144334007340 216501011010 433002022020