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212940090 = 23451123899
BaseRepresentation
bin11001011000100…
…11010100111010
3112211200110220000
430230103110322
5414003040330
633044013430
75163650406
oct1454232472
9484613800
10212940090
11aa221050
125b391276
133516816c
14203d0106
1513a63560
hexcb1353a

212940090 has 80 divisors (see below), whose sum is σ = 624650400. Its totient is φ = 51619680.

The previous prime is 212940089. The next prime is 212940109. The reversal of 212940090 is 90049212.

212940090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3040 + ... + 20859.

It is an arithmetic number, because the mean of its divisors is an integer number (7808130).

Almost surely, 2212940090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212940090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312325200).

212940090 is an abundant number, since it is smaller than the sum of its proper divisors (411710310).

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

212940090 is a wasteful number, since it uses less digits than its factorization.

212940090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23929 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 212940090 is about 14592.4668922016. The cubic root of 212940090 is about 597.1532648592.

The spelling of 212940090 in words is "two hundred twelve million, nine hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 23899 47798 71697 119495 143394 215091 238990 262889 358485 430182 525778 645273 716970 788667 1075455 1290546 1314445 1577334 1935819 2150910 2366001 2628890 3226365 3871638 3943335 4732002 6452730 7098003 7886670 9679095 11830005 14196006 19358190 21294009 23660010 35490015 42588018 70980030 106470045 212940090