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216144126 = 2361113477
BaseRepresentation
bin11001110001000…
…01100011111110
3120001201021000000
430320201203332
5420313103001
633240415130
75233123542
oct1470414376
9501637000
10216144126
1110100a310
12604774a6
1335a1a643
14209c5a22
1513e97a86
hexce218fe

216144126 has 56 divisors (see below), whose sum is σ = 530332344. Its totient is φ = 65493360.

The previous prime is 216144113. The next prime is 216144127. The reversal of 216144126 is 621441612.

216144126 is a `hidden beast` number, since 2 + 1 + 614 + 41 + 2 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216144126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216144127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9300 + ... + 22776.

Almost surely, 2216144126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216144126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265166172).

216144126 is an abundant number, since it is smaller than the sum of its proper divisors (314188218).

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

216144126 is a wasteful number, since it uses less digits than its factorization.

216144126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13493 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 216144126 is about 14701.8409051384. The cubic root of 216144126 is about 600.1334203295.

Adding to 216144126 its reverse (621441612), we get a palindrome (837585738).

The spelling of 216144126 in words is "two hundred sixteen million, one hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 13477 16038 26954 40431 80862 121293 148247 242586 296494 363879 444741 727758 889482 1091637 1334223 2183274 2668446 3274911 4002669 6549822 8005338 9824733 12008007 19649466 24016014 36024021 72048042 108072063 216144126