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442021300220 = 225313847185323
BaseRepresentation
bin1100110111010101000…
…01011100011111111100
31120020221020001121010102
412123222201130133330
524220224423101340
6535021202300232
743635462026243
oct6335241343774
91506836047112
10442021300220
11160507556195
1271800057678
13328b43b5126
1417572db195a
15b770a9e215
hex66ea85c7fc

442021300220 has 48 divisors (see below), whose sum is σ = 958442354688. Its totient is φ = 171059618880.

The previous prime is 442021300187. The next prime is 442021300241. The reversal of 442021300220 is 22003120244.

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 = 442021300192 and 442021300201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292479 + ... + 2477801.

It is an arithmetic number, because the mean of its divisors is an integer number (19967549056).

Almost surely, 2442021300220 is an apocalyptic number.

It is an amenable number.

442021300220 is an abundant number, since it is smaller than the sum of its proper divisors (516421054468).

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

442021300220 is a wasteful number, since it uses less digits than its factorization.

442021300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189210 (or 189208 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442021300220 its reverse (22003120244), we get a palindrome (464024420464).

The spelling of 442021300220 in words is "four hundred forty-two billion, twenty-one million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 3847 7694 15388 19235 38470 76940 119257 185323 238514 370646 477028 596285 741292 926615 1192570 1853230 2385140 3706460 5745013 11490026 22980052 28725065 57450130 114900260 712937581 1425875162 2851750324 3564687905 7129375810 14258751620 22101065011 44202130022 88404260044 110505325055 221010650110 442021300220