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232180386201 = 3437214472
BaseRepresentation
bin1101100000111100000…
…1111000100110011001
3211012022001100200110000
43120033001320212121
512301001134324301
6254355011243213
722526434501641
oct3301701704631
9735261320400
10232180386201
118a5158586a5
1238bb88a9509
1318b8233920a
14b347d3d521
15608d6e3786
hex360f078999

232180386201 has 45 divisors (see below), whose sum is σ = 356711218479. Its totient is φ = 150499413936.

The previous prime is 232180386181. The next prime is 232180386211. The reversal of 232180386201 is 102683081232.

The square root of 232180386201 is 481851.

It is a perfect power (a square), and thus also a powerful number.

232180386201 is a `hidden beast` number, since 2 + 3 + 21 + 8 + 0 + 3 + 8 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207758198025 + 24422188176 = 455805^2 + 156276^2 .

It is not a de Polignac number, because 232180386201 - 25 = 232180386169 is a prime.

It is a super-2 number, since 2×2321803862012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232180386211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 160455660 + ... + 160457106.

Almost surely, 2232180386201 is an apocalyptic number.

232180386201 is the 481851-st square number.

232180386201 is the 240926-th centered octagonal number.

It is an amenable number.

232180386201 is a deficient number, since it is larger than the sum of its proper divisors (124530832278).

232180386201 is an frugal number, since it uses more digits than its factorization.

232180386201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 232180386201 by its sum of digits (36), we get a square (8358493903236 = 28911062).

The spelling of 232180386201 in words is "two hundred thirty-two billion, one hundred eighty million, three hundred eighty-six thousand, two hundred one".

Divisors: 1 3 9 27 37 81 111 333 999 1369 1447 2997 4107 4341 12321 13023 36963 39069 53539 110889 117207 160617 481851 1445553 1980943 2093809 4336659 5942829 6281427 17828487 18844281 53485461 56532843 77470933 160456383 169598529 232412799 697238397 2091715191 2866424521 6275145573 8599273563 25797820689 77393462067 232180386201