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213352542 = 2351333769
BaseRepresentation
bin11001011011110…
…00000001011110
3112212110102200000
430231320001132
5414104240132
633100515130
75200316034
oct1455700136
9485412600
10213352542
11aa482a17
125b54baa6
1335280b10
142049a554
1513ae587c
hexcb7805e

213352542 has 48 divisors (see below), whose sum is σ = 516275760. Its totient is φ = 65644992.

The previous prime is 213352537. The next prime is 213352549. The reversal of 213352542 is 245253312.

It is a happy number.

213352542 is a `hidden beast` number, since 2 + 133 + 525 + 4 + 2 = 666.

213352542 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213352549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10567 + ... + 23202.

It is an arithmetic number, because the mean of its divisors is an integer number (10755745).

Almost surely, 2213352542 is an apocalyptic number.

213352542 is an abundant number, since it is smaller than the sum of its proper divisors (302923218).

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

213352542 is a wasteful number, since it uses less digits than its factorization.

213352542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33799 (or 33787 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 213352542 is about 14606.5924157553. The cubic root of 213352542 is about 597.5385660465.

The spelling of 213352542 in words is "two hundred thirteen million, three hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 33769 67538 101307 202614 303921 438997 607842 877994 911763 1316991 1823526 2633982 2735289 3950973 5470578 7901946 8205867 11852919 16411734 23705838 35558757 71117514 106676271 213352542