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216244242 = 2352967229
BaseRepresentation
bin11001110001110…
…10000000010010
3120001220100100000
430320322000102
5420324303432
633242510430
75234021454
oct1470720022
9501810300
10216244242
11101078555
1260505416
1335a54096
1420a102d4
1513eb757c
hexce3a012

216244242 has 96 divisors (see below), whose sum is σ = 512366400. Its totient is φ = 68257728.

The previous prime is 216244211. The next prime is 216244247. The reversal of 216244242 is 242442612.

216244242 is a `hidden beast` number, since 216 + 2 + 442 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216244247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944184 + ... + 944412.

It is an arithmetic number, because the mean of its divisors is an integer number (5337150).

Almost surely, 2216244242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216244242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256183200).

216244242 is an abundant number, since it is smaller than the sum of its proper divisors (296122158).

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

216244242 is a wasteful number, since it uses less digits than its factorization.

216244242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 216244242 is about 14705.2453906761. The cubic root of 216244242 is about 600.2260648138.

Adding to 216244242 its reverse (242442612), we get a palindrome (458686854).

The spelling of 216244242 in words is "two hundred sixteen million, two hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 67 81 87 134 162 174 201 229 243 261 402 458 486 522 603 687 783 1206 1374 1566 1809 1943 2061 2349 3618 3886 4122 4698 5427 5829 6183 6641 7047 10854 11658 12366 13282 14094 15343 16281 17487 18549 19923 30686 32562 34974 37098 39846 46029 52461 55647 59769 92058 104922 111294 119538 138087 157383 179307 276174 314766 358614 414261 444947 472149 537921 828522 889894 944298 1075842 1242783 1334841 1613763 2485566 2669682 3227526 3728349 4004523 7456698 8009046 12013569 24027138 36040707 72081414 108122121 216244242