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221014420344 = 23333727654457
BaseRepresentation
bin1100110111010101111…
…1000110101101111000
3210010110212121211212000
43031311133012231320
512110114142422334
6245311014021000
721652641401424
oct3156537065570
9703425554760
10221014420344
1185805973243
1236a01347760
1317ac2c12823
14a9a8dc9b84
155b382be299
hex33757c6b78

221014420344 has 64 divisors (see below), whose sum is σ = 630521642400. Its totient is φ = 71680349952.

The previous prime is 221014420331. The next prime is 221014420349. The reversal of 221014420344 is 443024410122.

221014420344 is a `hidden beast` number, since 2 + 210 + 1 + 442 + 0 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221014420349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13819237 + ... + 13835220.

Almost surely, 2221014420344 is an apocalyptic number.

221014420344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221014420344 is an abundant number, since it is smaller than the sum of its proper divisors (409507222056).

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

221014420344 is a wasteful number, since it uses less digits than its factorization.

221014420344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27654509 (or 27654499 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221014420344 its reverse (443024410122), we get a palindrome (664038830466).

The spelling of 221014420344 in words is "two hundred twenty-one billion, fourteen million, four hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 27654457 55308914 82963371 110617828 165926742 221235656 248890113 331853484 497780226 663706968 746670339 995560452 1023214909 1493340678 1991120904 2046429818 2986681356 3069644727 4092859636 5973362712 6139289454 8185719272 9208934181 12278578908 18417868362 24557157816 27626802543 36835736724 55253605086 73671473448 110507210172 221014420344