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212713240 = 2357397751
BaseRepresentation
bin11001010110110…
…11111100011000
3112211020221201011
430223123330120
5413423310430
633035103304
75162014135
oct1453337430
9484227634
10212713240
11aa086673
125b2a1b34
13350b8b2c
142037158c
1513a1b22a
hexcadbf18

212713240 has 64 divisors (see below), whose sum is σ = 490815360. Its totient is φ = 82944000.

The previous prime is 212713219. The next prime is 212713243. The reversal of 212713240 is 42317212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212713243) 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, 282865 + ... + 283615.

It is an arithmetic number, because the mean of its divisors is an integer number (7668990).

Almost surely, 2212713240 is an apocalyptic number.

212713240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212713240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245407680).

212713240 is an abundant number, since it is smaller than the sum of its proper divisors (278102120).

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

212713240 is a wasteful number, since it uses less digits than its factorization.

212713240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 212713240 is about 14584.6919748070. The cubic root of 212713240 is about 596.9411357873.

The spelling of 212713240 in words is "two hundred twelve million, seven hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 97 146 194 292 365 388 485 584 730 751 776 970 1460 1502 1940 2920 3004 3755 3880 6008 7081 7510 14162 15020 28324 30040 35405 54823 56648 70810 72847 109646 141620 145694 219292 274115 283240 291388 364235 438584 548230 582776 728470 1096460 1456940 2192920 2913880 5317831 10635662 21271324 26589155 42542648 53178310 106356620 212713240