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801022020 = 2235311273391
BaseRepresentation
bin101111101111101…
…010000001000100
32001211021010122020
4233233222001010
53120030201040
6211252403140
725564401111
oct5757520104
92054233566
10801022020
11381179777
121a43164b0
13c9c50136
1478553908
154a4c9cd0
hex2fbea044

801022020 has 96 divisors (see below), whose sum is σ = 2334130176. Its totient is φ = 205027200.

The previous prime is 801022003. The next prime is 801022037. The reversal of 801022020 is 20220108.

801022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (801022003) and next prime (801022037).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234525 + ... + 237915.

It is an arithmetic number, because the mean of its divisors is an integer number (24313856).

Almost surely, 2801022020 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 801022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167065088).

801022020 is an abundant number, since it is smaller than the sum of its proper divisors (1533108156).

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

801022020 is a wasteful number, since it uses less digits than its factorization.

801022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 801022020 is about 28302.3324127182. The cubic root of 801022020 is about 928.7129148847.

Adding to 801022020 its reverse (20220108), we get a palindrome (821242128).

The spelling of 801022020 in words is "eight hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 127 155 186 254 310 372 381 465 508 620 635 762 930 1270 1524 1860 1905 2540 3391 3810 3937 6782 7620 7874 10173 11811 13564 15748 16955 19685 20346 23622 33910 39370 40692 47244 50865 59055 67820 78740 101730 105121 118110 203460 210242 236220 315363 420484 430657 525605 630726 861314 1051210 1261452 1291971 1576815 1722628 2102420 2153285 2583942 3153630 4306570 5167884 6307260 6459855 8613140 12919710 13350367 25839420 26700734 40051101 53401468 66751835 80102202 133503670 160204404 200255505 267007340 400511010 801022020