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221010120 = 2334568213
BaseRepresentation
bin11010010110001…
…01100011001000
3120101212110220000
431023011203020
5423034310440
633533003000
75322361242
oct1513054310
9511773800
10221010120
111038331a1
1262023460
1336a32426
14214d1092
1514609730
hexd2c58c8

221010120 has 80 divisors (see below), whose sum is σ = 742850460. Its totient is φ = 58935168.

The previous prime is 221010113. The next prime is 221010133. The reversal of 221010120 is 21010122.

It can be written as a sum of positive squares in 2 ways, for example, as 216266436 + 4743684 = 14706^2 + 2178^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30867 + ... + 37346.

Almost surely, 2221010120 is an apocalyptic number.

221010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010120 is an abundant number, since it is smaller than the sum of its proper divisors (521840340).

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

221010120 is a wasteful number, since it uses less digits than its factorization.

221010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68236 (or 68223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 221010120 is about 14866.4091158558. The cubic root of 221010120 is about 604.6035879595.

Adding to 221010120 its reverse (21010122), we get a palindrome (242020242).

The spelling of 221010120 in words is "two hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 68213 136426 204639 272852 341065 409278 545704 613917 682130 818556 1023195 1227834 1364260 1637112 1841751 2046390 2455668 2728520 3069585 3683502 4092780 4911336 5525253 6139170 7367004 8185560 9208755 11050506 12278340 14734008 18417510 22101012 24556680 27626265 36835020 44202024 55252530 73670040 110505060 221010120