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201234240 = 2633523291
BaseRepresentation
bin10111111111010…
…01011101000000
3112000122202111000
423333221131000
5403003443430
631545052000
74662314514
oct1377513500
9460582430
10201234240
11a3656299
1257487000
13328ca01c
141ca24144
15129eee60
hexbfe9740

201234240 has 112 divisors (see below), whose sum is σ = 709940160. Its totient is φ = 53660160.

The previous prime is 201234239. The next prime is 201234259. The reversal of 201234240 is 42432102.

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 15 ways as a sum of consecutive naturals, for example, 3006 + ... + 20285.

Almost surely, 2201234240 is an apocalyptic number.

201234240 is a gapful number since it is divisible by the number (20) 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 201234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354970080).

201234240 is an abundant number, since it is smaller than the sum of its proper divisors (508705920).

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

201234240 is a wasteful number, since it uses less digits than its factorization.

201234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23317 (or 23301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201234240 is about 14185.7054812230. The cubic root of 201234240 is about 586.0040613665.

Adding to 201234240 its reverse (42432102), we get a palindrome (243666342).

The spelling of 201234240 in words is "two hundred one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 23291 46582 69873 93164 116455 139746 186328 209619 232910 279492 349365 372656 419238 465820 558984 628857 698730 745312 838476 931640 1048095 1117968 1257714 1397460 1490624 1676952 1863280 2096190 2235936 2515428 2794920 3144285 3353904 3726560 4192380 4471872 5030856 5589840 6288570 6707808 7453120 8384760 10061712 11179680 12577140 13415616 16769520 20123424 22359360 25154280 33539040 40246848 50308560 67078080 100617120 201234240