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242022402020 = 22572729633467
BaseRepresentation
bin1110000101100110101…
…0001100011111100100
3212010200221211220000102
43201121222030133210
512431130213331040
6303103352003232
723325353321420
oct3413152143744
9763627756012
10242022402020
1193706377873
123aaa4990518
1319a90390609
14b9dd0d9b80
156467796515
hex3859a8c7e4

242022402020 has 48 divisors (see below), whose sum is σ = 581067527040. Its totient is φ = 82948571904.

The previous prime is 242022401993. The next prime is 242022402067. The reversal of 242022402020 is 20204220242.

242022402020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2420224020203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242022401983 and 242022402001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65327 + ... + 698793.

It is an arithmetic number, because the mean of its divisors is an integer number (12105573480).

Almost surely, 2242022402020 is an apocalyptic number.

242022402020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242022402020 is an abundant number, since it is smaller than the sum of its proper divisors (339045125020).

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

242022402020 is a wasteful number, since it uses less digits than its factorization.

242022402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636212 (or 636210 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 242022402020 its reverse (20204220242), we get a palindrome (262226622262).

The spelling of 242022402020 in words is "two hundred forty-two billion, twenty-two million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2729 5458 10916 13645 19103 27290 38206 54580 76412 95515 191030 382060 633467 1266934 2533868 3167335 4434269 6334670 8868538 12669340 17737076 22171345 44342690 88685380 1728731443 3457462886 6914925772 8643657215 12101120101 17287314430 24202240202 34574628860 48404480404 60505600505 121011201010 242022402020