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221330001332 = 2211127121332653
BaseRepresentation
bin1100111000100001001…
…0111100110110110100
3210011021212110000120202
43032020102330312310
512111240440020312
6245402210020032
721663522653546
oct3161022746664
9704255400522
10221330001332
1185958019980
1236a8ab77618
1317b4340753b
14a9d8c97696
155b55d599c2
hex33884bcdb4

221330001332 has 48 divisors (see below), whose sum is σ = 426230310912. Its totient is φ = 99727044480.

The previous prime is 221330001329. The next prime is 221330001337. The reversal of 221330001332 is 233100033122.

221330001332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330001337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6761918 + ... + 6794570.

It is an arithmetic number, because the mean of its divisors is an integer number (8879798144).

Almost surely, 2221330001332 is an apocalyptic number.

221330001332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221330001332 is a deficient number, since it is larger than the sum of its proper divisors (204900309580).

221330001332 is a wasteful number, since it uses less digits than its factorization.

221330001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008 (or 34006 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 221330001332 its reverse (233100033122), we get a palindrome (454430034454).

The spelling of 221330001332 in words is "two hundred twenty-one billion, three hundred thirty million, one thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 44 127 254 508 1213 1397 2426 2794 4852 5588 13343 26686 32653 53372 65306 130612 154051 308102 359183 616204 718366 1436732 1694561 3389122 4146931 6778244 8293862 16587724 39608089 45616241 79216178 91232482 158432356 182464964 435688979 871377958 1742755916 5030227303 10060454606 20120909212 55332500333 110665000666 221330001332