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2021422000 = 24531377747
BaseRepresentation
bin111100001111100…
…0111001110110000
312012212122212200111
41320133013032300
513114441001000
6532330031104
7101043542413
oct17037071660
95185585614
102021422000
119480492a4
12484b78494
13262a37ac0
14152673b7a
15bc6e4cba
hex787c73b0

2021422000 has 80 divisors (see below), whose sum is σ = 5263850592. Its totient is φ = 746361600.

The previous prime is 2021421973. The next prime is 2021422021. The reversal of 2021422000 is 2241202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×20214220003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12874 + ... + 64873.

Almost surely, 22021422000 is an apocalyptic number.

2021422000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021422000 is an abundant number, since it is smaller than the sum of its proper divisors (3242428592).

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

2021422000 is a wasteful number, since it uses less digits than its factorization.

2021422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77783 (or 77767 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2021422000 is about 44960.2268677550. The cubic root of 2021422000 is about 1264.4034223423.

Adding to 2021422000 its reverse (2241202), we get a palindrome (2023663202).

The spelling of 2021422000 in words is "two billion, twenty-one million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 77747 155494 310988 388735 621976 777470 1010711 1243952 1554940 1943675 2021422 3109880 3887350 4042844 5053555 6219760 7774700 8085688 9718375 10107110 15549400 16171376 19436750 20214220 25267775 31098800 38873500 40428440 50535550 77747000 80856880 101071100 126338875 155494000 202142200 252677750 404284400 505355500 1010711000 2021422000