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212242140 = 223351135731
BaseRepresentation
bin11001010011010…
…00111011011100
3112210101000111000
430221220323130
5413313222030
633021030300
75155012515
oct1451507334
9483330430
10212242140
11a9894730
125b0b5390
1334c82586
142028ba0c
1513976860
hexca68edc

212242140 has 96 divisors (see below), whose sum is σ = 720357120. Its totient is φ = 51451200.

The previous prime is 212242133. The next prime is 212242159. The reversal of 212242140 is 41242212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 11926 + ... + 23805.

It is an arithmetic number, because the mean of its divisors is an integer number (7503720).

Almost surely, 2212242140 is an apocalyptic number.

212242140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212242140 is an abundant number, since it is smaller than the sum of its proper divisors (508114980).

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

212242140 is a wasteful number, since it uses less digits than its factorization.

212242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35760 (or 35752 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212242140 is about 14568.5325273344. The cubic root of 212242140 is about 596.5001244804.

Adding to 212242140 its reverse (41242212), we get a palindrome (253484352).

The spelling of 212242140 in words is "two hundred twelve million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 35731 71462 107193 142924 178655 214386 321579 357310 393041 428772 535965 643158 714620 786082 964737 1071930 1179123 1286316 1572164 1607895 1929474 1965205 2143860 2358246 3215790 3537369 3858948 3930410 4716492 4823685 5895615 6431580 7074738 7860820 9647370 10612107 11791230 14149476 17686845 19294740 21224214 23582460 35373690 42448428 53060535 70747380 106121070 212242140