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212023020 = 223511321247
BaseRepresentation
bin11001010001100…
…11011011101100
3112202221212220110
430220303123230
5413234214040
633012220020
75153110626
oct1450633354
9482855813
10212023020
11a9755040
125b00a610
1334c06911
1420231c16
1513931980
hexca336ec

212023020 has 48 divisors (see below), whose sum is σ = 647635968. Its totient is φ = 51399360.

The previous prime is 212023003. The next prime is 212023079. The reversal of 212023020 is 20320212.

It is a super-2 number, since 2×2120230202 = 89907522019840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212022987 and 212023005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159964 + ... + 161283.

It is an arithmetic number, because the mean of its divisors is an integer number (13492416).

Almost surely, 2212023020 is an apocalyptic number.

212023020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212023020 is an abundant number, since it is smaller than the sum of its proper divisors (435612948).

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

212023020 is a wasteful number, since it uses less digits than its factorization.

212023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321270 (or 321268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212023020 is about 14561.0102671484. The cubic root of 212023020 is about 596.2947770828.

Adding to 212023020 its reverse (20320212), we get a palindrome (232343232).

The spelling of 212023020 in words is "two hundred twelve million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 321247 642494 963741 1284988 1606235 1927482 3212470 3533717 3854964 4818705 6424940 7067434 9637410 10601151 14134868 17668585 19274820 21202302 35337170 42404604 53005755 70674340 106011510 212023020