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221212261240 = 23559511918311
BaseRepresentation
bin1100111000000101000…
…1110011101101111000
3210010222122220012112121
43032001101303231320
512111020314324430
6245342402251024
721660563124145
oct3160121635570
9703878805477
10221212261240
11858a7611013
1236a57656a74
1317b24bc2149
14a9c73a93cc
155b4a84da7a
hex3381473b78

221212261240 has 64 divisors (see below), whose sum is σ = 506290176000. Its totient is φ = 86963418240.

The previous prime is 221212261211. The next prime is 221212261241. The reversal of 221212261240 is 42162212122.

It is a happy number.

221212261240 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 (221212261241) 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, 12071685 + ... + 12089995.

It is an arithmetic number, because the mean of its divisors is an integer number (7910784000).

Almost surely, 2221212261240 is an apocalyptic number.

221212261240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212261240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253145088000).

221212261240 is an abundant number, since it is smaller than the sum of its proper divisors (285077914760).

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

221212261240 is a wasteful number, since it uses less digits than its factorization.

221212261240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23500 (or 23496 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 221212261240 its reverse (42162212122), we get a palindrome (263374473362).

The spelling of 221212261240 in words is "two hundred twenty-one billion, two hundred twelve million, two hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 5119 10238 18311 20476 25595 36622 40952 51190 73244 91555 102380 146488 183110 204760 302021 366220 604042 732440 1080349 1208084 1510105 2160698 2416168 3020210 4321396 5401745 6040420 8642792 10803490 12080840 21606980 43213960 93734009 187468018 374936036 468670045 749872072 937340090 1874680180 3749360360 5530306531 11060613062 22121226124 27651532655 44242452248 55303065310 110606130620 221212261240