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216010542 = 231131711487
BaseRepresentation
bin11001110000000…
…00111100101110
3120001110110202110
430320000330232
5420244314132
633233504450
75232026226
oct1470007456
9501413673
10216010542
11100a28a10
1260412126
13359a18b7
142098d086
1513e6d1cc
hexce00f2e

216010542 has 64 divisors (see below), whose sum is σ = 493682688. Its totient is φ = 62412000.

The previous prime is 216010523. The next prime is 216010547. The reversal of 216010542 is 245010612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216010547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144523 + ... + 146009.

It is an arithmetic number, because the mean of its divisors is an integer number (7713792).

Almost surely, 2216010542 is an apocalyptic number.

216010542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216010542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246841344).

216010542 is an abundant number, since it is smaller than the sum of its proper divisors (277672146).

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

216010542 is a wasteful number, since it uses less digits than its factorization.

216010542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 216010542 is about 14697.2970984464. The cubic root of 216010542 is about 600.0097609523.

The spelling of 216010542 in words is "two hundred sixteen million, ten thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 93 142 186 213 341 426 682 781 1023 1487 1562 2046 2201 2343 2974 4402 4461 4686 6603 8922 13206 16357 24211 32714 46097 48422 49071 72633 92194 98142 105577 138291 145266 211154 276582 316731 507067 633462 1014134 1161347 1521201 2322694 3042402 3272887 3484041 6545774 6968082 9818661 19637322 36001757 72003514 108005271 216010542