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221494140 = 223257237643
BaseRepresentation
bin11010011001110…
…11101101111100
3120102210001211200
431030323231330
5423200303030
633551215500
75326445340
oct1514735574
9512701750
10221494140
1110403390a
1262217590
1336b7182a
14215b9620
15146a2d60
hexd33bb7c

221494140 has 144 divisors (see below), whose sum is σ = 801335808. Its totient is φ = 48419712.

The previous prime is 221494123. The next prime is 221494151. The reversal of 221494140 is 41494122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25159 + ... + 32801.

It is an arithmetic number, because the mean of its divisors is an integer number (5564832).

Almost surely, 2221494140 is an apocalyptic number.

221494140 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 221494140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400667904).

221494140 is an abundant number, since it is smaller than the sum of its proper divisors (579841668).

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

221494140 is a wasteful number, since it uses less digits than its factorization.

221494140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 221494140 is about 14882.6791942849. The cubic root of 221494140 is about 605.0446339131.

The spelling of 221494140 in words is "two hundred twenty-one million, four hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 7643 9660 14490 15286 22929 28980 30572 38215 45858 53501 68787 76430 91716 107002 114645 137574 152860 160503 175789 214004 229290 267505 275148 321006 343935 351578 458580 481509 527367 535010 642012 687870 703156 802515 878945 963018 1054734 1070020 1230523 1375740 1582101 1605030 1757890 1926036 2109468 2407545 2461046 2636835 3164202 3210060 3515780 3691569 4815090 4922092 5273670 6152615 6328404 7383138 7910505 9630180 10547340 11074707 12305230 14766276 15821010 18457845 22149414 24610460 31642020 36915690 44298828 55373535 73831380 110747070 221494140