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212486240 = 25512710457
BaseRepresentation
bin11001010101001…
…00100001100000
3112210211102022202
430222210201200
5413344024430
633030152332
75160050261
oct1452444140
9483742282
10212486240
11a9a4106a
125b1b26a8
1335039705
1420312968
15139c3d45
hexcaa4860

212486240 has 48 divisors (see below), whose sum is σ = 505999872. Its totient is φ = 84317184.

The previous prime is 212486233. The next prime is 212486249. The reversal of 212486240 is 42684212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212486249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15092 + ... + 25548.

It is an arithmetic number, because the mean of its divisors is an integer number (10541664).

Almost surely, 2212486240 is an apocalyptic number.

212486240 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 212486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252999936).

212486240 is an abundant number, since it is smaller than the sum of its proper divisors (293513632).

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

212486240 is a wasteful number, since it uses less digits than its factorization.

212486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10599 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 212486240 is about 14576.9077653664. The cubic root of 212486240 is about 596.7287154278.

The spelling of 212486240 in words is "two hundred twelve million, four hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 10457 20320 20914 41828 52285 83656 104570 167312 209140 334624 418280 836560 1328039 1673120 2656078 5312156 6640195 10624312 13280390 21248624 26560780 42497248 53121560 106243120 212486240