Search a number
-
+
222132212001 = 33721021164447
BaseRepresentation
bin1100111011100000011…
…1001001000100100001
3210020100202221112202000
43032320013021010201
512114411321241001
6250013544114213
722022433435300
oct3167007110441
9706322845660
10222132212001
118622992a6a7
1237073765969
1317c406826cb
14aa7363a437
155ba14bba86
hex33b81c9121

222132212001 has 48 divisors (see below), whose sum is σ = 383190151680. Its totient is φ = 126807599520.

The previous prime is 222132211999. The next prime is 222132212023. The reversal of 222132212001 is 100212231222.

222132212001 is a `hidden beast` number, since 2 + 221 + 322 + 120 + 0 + 1 = 666.

It is not a de Polignac number, because 222132212001 - 21 = 222132211999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (222132212051) 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, 1268560 + ... + 1433006.

It is an arithmetic number, because the mean of its divisors is an integer number (7983128160).

Almost surely, 2222132212001 is an apocalyptic number.

222132212001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222132212001 is a deficient number, since it is larger than the sum of its proper divisors (161057939679).

222132212001 is a wasteful number, since it uses less digits than its factorization.

222132212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165491 (or 165478 counting only the distinct ones).

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

Adding to 222132212001 its reverse (100212231222), we get a palindrome (322344443223).

The spelling of 222132212001 in words is "two hundred twenty-two billion, one hundred thirty-two million, two hundred twelve thousand, one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1021 1323 3063 7147 9189 21441 27567 50029 64323 150087 164447 192969 450261 493341 1151129 1350783 1480023 3453387 4440069 8057903 10360161 24173709 31080483 72521127 167900387 217563381 503701161 1175302709 1511103483 3525908127 4533310449 8227118963 10577724381 24681356889 31733173143 74044070667 222132212001