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213214212220 = 225231327349291
BaseRepresentation
bin1100011010010010001…
…1101011000001111100
3202101100021011012212211
43012210203223001330
511443130314242340
6241541012310204
721255434621032
oct3064443530174
9671307135784
10213214212220
1182472956449
12353a5012364
131714bbb3069
14a46908c552
15582d5db5ea
hex31a48eb07c

213214212220 has 48 divisors (see below), whose sum is σ = 467570654208. Its totient is φ = 81515903040.

The previous prime is 213214212187. The next prime is 213214212227. The reversal of 213214212220 is 22212412312.

It is a junction number, because it is equal to n+sod(n) for n = 213214212191 and 213214212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213214212227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435775 + ... + 785065.

It is an arithmetic number, because the mean of its divisors is an integer number (9741055296).

Almost surely, 2213214212220 is an apocalyptic number.

213214212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213214212220 is an abundant number, since it is smaller than the sum of its proper divisors (254356441988).

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

213214212220 is a wasteful number, since it uses less digits than its factorization.

213214212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350650 (or 350648 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 213214212220 its reverse (22212412312), we get a palindrome (235426624532).

The spelling of 213214212220 in words is "two hundred thirteen billion, two hundred fourteen million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1327 2654 5308 6635 13270 26540 30521 61042 122084 152605 305210 349291 610420 698582 1397164 1746455 3492910 6985820 8033693 16067386 32134772 40168465 80336930 160673860 463509157 927018314 1854036628 2317545785 4635091570 9270183140 10660710611 21321421222 42642842444 53303553055 106607106110 213214212220