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221620140 = 223257225127
BaseRepresentation
bin11010011010110…
…10011110101100
3120110000110200100
431031122132230
5423213321030
633554031100
75330511600
oct1515323654
9513013610
10221620140
1110410a545
1262278490
1336bb6ca1
142160d500
15146ca360
hexd35a7ac

221620140 has 108 divisors (see below), whose sum is σ = 782033616. Its totient is φ = 50654016.

The previous prime is 221620099. The next prime is 221620141. The reversal of 221620140 is 41026122.

221620140 is a `hidden beast` number, since 2 + 2 + 1 + 620 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221620141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3744 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (7241052).

Almost surely, 2221620140 is an apocalyptic number.

221620140 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 221620140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391016808).

221620140 is an abundant number, since it is smaller than the sum of its proper divisors (560413476).

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

221620140 is a wasteful number, since it uses less digits than its factorization.

221620140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25156 (or 25144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221620140 is about 14886.9117012227. The cubic root of 221620140 is about 605.1593414964.

Adding to 221620140 its reverse (41026122), we get a palindrome (262646262).

The spelling of 221620140 in words is "two hundred twenty-one million, six hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 25127 50254 75381 100508 125635 150762 175889 226143 251270 301524 351778 376905 452286 502540 527667 703556 753810 879445 904572 1055334 1130715 1231223 1507620 1583001 1758890 2110668 2261430 2462446 2638335 3166002 3517780 3693669 4522860 4924892 5276670 6156115 6332004 7387338 7915005 10553340 11081007 12312230 14774676 15830010 18468345 22162014 24624460 31660020 36936690 44324028 55405035 73873380 110810070 221620140