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221414132440 = 23524182727773
BaseRepresentation
bin1100111000110101001…
…1111000101011011000
3210011111201202022202201
43032031103320223120
512111424004214230
6245414413135544
721665564034004
oct3161523705330
9704451668681
10221414132440
11859a0561916
1236ab318a5b4
1317b57983067
14aa06117704
155b5d4275ca
hex338d4f8ad8

221414132440 has 64 divisors (see below), whose sum is σ = 500871872160. Its totient is φ = 88088340480.

The previous prime is 221414132371. The next prime is 221414132441. The reversal of 221414132440 is 44231414122.

It is a junction number, because it is equal to n+sod(n) for n = 221414132399 and 221414132408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221414132441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7958394 + ... + 7986166.

Almost surely, 2221414132440 is an apocalyptic number.

221414132440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221414132440 is an abundant number, since it is smaller than the sum of its proper divisors (279457739720).

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

221414132440 is a wasteful number, since it uses less digits than its factorization.

221414132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28852 (or 28848 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 221414132440 its reverse (44231414122), we get a palindrome (265645546562).

The spelling of 221414132440 in words is "two hundred twenty-one billion, four hundred fourteen million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 827 964 1205 1654 1928 2410 3308 4135 4820 6616 8270 9640 16540 27773 33080 55546 111092 138865 199307 222184 277730 398614 555460 797228 996535 1110920 1594456 1993070 3986140 6693293 7972280 13386586 22968271 26773172 33466465 45936542 53546344 66932930 91873084 114841355 133865860 183746168 229682710 267731720 459365420 918730840 5535353311 11070706622 22141413244 27676766555 44282826488 55353533110 110707066220 221414132440