Search a number
-
+
212850305920 = 2757192500591
BaseRepresentation
bin1100011000111011011…
…1011110101110000000
3202100101220101212021201
43012032313132232000
511441404134242140
6241440532430544
721243425514520
oct3061667365600
9670356355251
10212850305920
11822a64a323a
1235303178454
13170c169b2a5
14a432a01680
15580b6a749a
hex318eddeb80

212850305920 has 128 divisors (see below), whose sum is σ = 612144921600. Its totient is φ = 69136312320.

The previous prime is 212850305917. The next prime is 212850305923. The reversal of 212850305920 is 29503058212.

212850305920 is digitally balanced in base 3, 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 (212850305917) and next prime (212850305923).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 212850305920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212850305923) 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, 1165176 + ... + 1335415.

It is an arithmetic number, because the mean of its divisors is an integer number (4782382200).

Almost surely, 2212850305920 is an apocalyptic number.

212850305920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212850305920 is an abundant number, since it is smaller than the sum of its proper divisors (399294615680).

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

212850305920 is a wasteful number, since it uses less digits than its factorization.

212850305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500636 (or 2500624 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 212850305920 in words is "two hundred twelve billion, eight hundred fifty million, three hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 2500591 5001182 10002364 12502955 17504137 20004728 25005910 35008274 40009456 47511229 50011820 70016548 80018912 87520685 95022458 100023640 140033096 160037824 175041370 190044916 200047280 237556145 280066192 320075648 332578603 350082740 380089832 400094560 475112290 560132384 665157206 700165480 760179664 800189120 950224580 1120264768 1330314412 1400330960 1520359328 1600378240 1662893015 1900449160 2240529536 2660628824 2800661920 3040718656 3325786030 3800898320 5321257648 5601323840 6081437312 6651572060 7601796640 10642515296 11202647680 13303144120 15203593280 21285030592 26606288240 30407186560 42570061184 53212576480 106425152960 212850305920