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217252542 = 2313316481
BaseRepresentation
bin11001111001100…
…00001010111110
3120010210120110110
430330300022332
5421104040132
633320250450
75245421223
oct1474601276
9503716413
10217252542
111016a7061
1260910a26
1336018000
1420bd394a
15141161cc
hexcf302be

217252542 has 32 divisors (see below), whose sum is σ = 470725920. Its totient is φ = 66842880.

The previous prime is 217252531. The next prime is 217252561. The reversal of 217252542 is 245252712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 21422.

It is an arithmetic number, because the mean of its divisors is an integer number (14710185).

Almost surely, 2217252542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217252542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235362960).

217252542 is an abundant number, since it is smaller than the sum of its proper divisors (253473378).

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

217252542 is a wasteful number, since it uses less digits than its factorization.

217252542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16525 (or 16499 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 217252542 is about 14739.4892041753. The cubic root of 217252542 is about 601.1575265622.

The spelling of 217252542 in words is "two hundred seventeen million, two hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 2197 4394 6591 13182 16481 32962 49443 98886 214253 428506 642759 1285518 2785289 5570578 8355867 16711734 36208757 72417514 108626271 217252542