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201212424 = 2334726337
BaseRepresentation
bin10111111111001…
…00001000001000
3112000121122120000
423333210020020
5403002244144
631544403000
74662164100
oct1377441010
9460548500
10201212424
11a3640966
1257476460
13328c010a
141ca1a200
15129e8769
hexbfe4208

201212424 has 120 divisors (see below), whose sum is σ = 655697790. Its totient is φ = 57480192.

The previous prime is 201212419. The next prime is 201212443. The reversal of 201212424 is 424212102.

It can be written as a sum of positive squares in only one way, i.e., 181764324 + 19448100 = 13482^2 + 4410^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201212397 and 201212406.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 28584 + ... + 34920.

Almost surely, 2201212424 is an apocalyptic number.

201212424 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 201212424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327848895).

201212424 is an abundant number, since it is smaller than the sum of its proper divisors (454485366).

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

201212424 is a wasteful number, since it uses less digits than its factorization.

201212424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 201212424 is about 14184.9365173060. The cubic root of 201212424 is about 585.9828841774.

Adding to 201212424 its reverse (424212102), we get a palindrome (625424526).

The spelling of 201212424 in words is "two hundred one million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 6337 7938 10584 12674 15876 19011 25348 31752 38022 44359 50696 57033 76044 88718 114066 133077 152088 171099 177436 228132 266154 310513 342198 354872 399231 456264 513297 532308 621026 684396 798462 931539 1026594 1064616 1197693 1242052 1368792 1596924 1863078 2053188 2395386 2484104 2794617 3193848 3593079 3726156 4106376 4790772 5589234 7186158 7452312 8383851 9581544 11178468 14372316 16767702 22356936 25151553 28744632 33535404 50303106 67070808 100606212 201212424