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221211200892 = 223115928404109
BaseRepresentation
bin1100111000000100110…
…1110000110101111100
3210010222120220100000110
43032001031300311330
512111020031412032
6245342323430020
721660551116563
oct3160115606574
9703876810013
10221211200892
11858a6a573a0
1236a57225310
1317b24910616
14a9c71b0bda
155b4a6de7cc
hex3381370d7c

221211200892 has 48 divisors (see below), whose sum is σ = 572626857600. Its totient is φ = 65897530560.

The previous prime is 221211200891. The next prime is 221211200893. The reversal of 221211200892 is 298002112122.

221211200892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221211200891) and next prime (221211200893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211200891) 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, 14194267 + ... + 14209842.

It is an arithmetic number, because the mean of its divisors is an integer number (11929726200).

Almost surely, 2221211200892 is an apocalyptic number.

221211200892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221211200892 is an abundant number, since it is smaller than the sum of its proper divisors (351415656708).

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

221211200892 is a wasteful number, since it uses less digits than its factorization.

221211200892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28404186 (or 28404184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 221211200892 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 28404109 56808218 85212327 113616436 170424654 312445199 340849308 624890398 937335597 1249780796 1675842431 1874671194 3351684862 3749342388 5027527293 6703369724 10055054586 18434266741 20110109172 36868533482 55302800223 73737066964 110605600446 221211200892