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220312230201 = 32717964921319
BaseRepresentation
bin1100110100101110100…
…0011101100100111001
3210001122221022220001200
43031023220131210321
512102144412331301
6245113211404413
721626354026020
oct3151350354471
9701587286050
10220312230201
1185485568408
1236846153709
1317a105b75bb
14a93da418b7
155ae6817c86
hex334ba1d939

220312230201 has 48 divisors (see below), whose sum is σ = 385141536000. Its totient is φ = 118469412864.

The previous prime is 220312230157. The next prime is 220312230211. The reversal of 220312230201 is 102032213022.

220312230201 is a `hidden beast` number, since 220 + 3 + 12 + 230 + 201 = 666.

It is not a de Polignac number, because 220312230201 - 215 = 220312197433 is a prime.

It is a super-2 number, since 2×2203122302012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220312230211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10323420 + ... + 10344738.

It is an arithmetic number, because the mean of its divisors is an integer number (8023782000).

Almost surely, 2220312230201 is an apocalyptic number.

220312230201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220312230201 is a deficient number, since it is larger than the sum of its proper divisors (164829305799).

220312230201 is a wasteful number, since it uses less digits than its factorization.

220312230201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30998 (or 30995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220312230201 its reverse (102032213022), we get a palindrome (322344443223).

The spelling of 220312230201 in words is "two hundred twenty billion, three hundred twelve million, two hundred thirty thousand, two hundred one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 9649 21319 28947 63957 67543 86841 149233 164033 191871 202629 362423 447699 492099 607887 1087269 1148231 1343097 1476297 2536961 3261807 3444693 7610883 10334079 22832649 205707031 617121093 1439949217 1851363279 3497019527 4319847651 10491058581 12959542953 24479136689 31473175743 73437410067 220312230201