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2022020010 = 2365793511
BaseRepresentation
bin111100010000101…
…1001001110101010
312012220210021000000
41320201121032222
513120114120020
6532350523430
7101051613033
oct17041311652
95186707000
102022020010
1194841761a
12485206576
13262bb705a
1415278ba8a
15bc7b2090
hex788593aa

2022020010 has 112 divisors (see below), whose sum is σ = 5527607040. Its totient is φ = 532228320.

The previous prime is 2022019991. The next prime is 2022020027. The reversal of 2022020010 is 100202202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2022019974 and 2022020001.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 574155 + ... + 577665.

Almost surely, 22022020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763803520).

2022020010 is an abundant number, since it is smaller than the sum of its proper divisors (3505587030).

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

2022020010 is an equidigital number, since it uses as much as digits as its factorization.

2022020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022020010 is about 44966.8768094917. The cubic root of 2022020010 is about 1264.5280955245.

Adding to 2022020010 its reverse (100202202), we get a palindrome (2122222212).

The spelling of 2022020010 in words is "two billion, twenty-two million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 243 270 395 405 474 486 711 729 790 810 1185 1215 1422 1458 2133 2370 2430 3511 3555 3645 4266 6399 7022 7110 7290 10533 10665 12798 17555 19197 21066 21330 31599 31995 35110 38394 52665 57591 63198 63990 94797 95985 105330 115182 157995 189594 191970 277369 284391 287955 315990 473985 554738 568782 575910 832107 853173 947970 1386845 1421955 1664214 1706346 2496321 2559519 2773690 2843910 4160535 4265865 4992642 5119038 7488963 8321070 8531730 12481605 12797595 14977926 22466889 24963210 25595190 37444815 44933778 67400667 74889630 112334445 134801334 202202001 224668890 337003335 404404002 674006670 1011010005 2022020010