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201213144 = 2332112391063
BaseRepresentation
bin10111111111001…
…00010011011000
3112000121200112200
423333210103120
5403002310034
631544410200
74662166146
oct1377442330
9460550480
10201213144
11a3641460
1257476960
13328c0542
141ca1a596
15129e8a99
hexbfe44d8

201213144 has 96 divisors (see below), whose sum is σ = 597542400. Its totient is φ = 60661440.

The previous prime is 201213137. The next prime is 201213151. The reversal of 201213144 is 441312102.

It is an interprime number because it is at equal distance from previous prime (201213137) and next prime (201213151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188757 + ... + 189819.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2201213144 is an apocalyptic number.

201213144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

201213144 is an abundant number, since it is smaller than the sum of its proper divisors (396329256).

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

201213144 is a wasteful number, since it uses less digits than its factorization.

201213144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201213144 is about 14184.9618963182. The cubic root of 201213144 is about 585.9835831190.

Adding to 201213144 its reverse (441312102), we get a palindrome (642525246).

The spelling of 201213144 in words is "two hundred one million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 239 264 396 478 717 792 956 1063 1434 1912 2126 2151 2629 2868 3189 4252 4302 5258 5736 6378 7887 8504 8604 9567 10516 11693 12756 15774 17208 19134 21032 23386 23661 25512 31548 35079 38268 46772 47322 63096 70158 76536 93544 94644 105237 140316 189288 210474 254057 280632 420948 508114 762171 841896 1016228 1524342 2032456 2286513 2794627 3048684 4573026 5589254 6097368 8383881 9146052 11178508 16767762 18292104 22357016 25151643 33535524 50303286 67071048 100606572 201213144