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221061240 = 233251673677
BaseRepresentation
bin11010010110100…
…10000001111000
3120101222002000100
431023102001320
5423042424430
633534035400
75322663261
oct1513220170
9511862010
10221061240
11103868644
1262048b60
1336a4c78a
1421505968
1514619960
hexd2d2078

221061240 has 96 divisors (see below), whose sum is σ = 722947680. Its totient is φ = 58580736.

The previous prime is 221061223. The next prime is 221061263. The reversal of 221061240 is 42160122.

221061240 is a `hidden beast` number, since 2 + 2 + 10 + 612 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58282 + ... + 61958.

It is an arithmetic number, because the mean of its divisors is an integer number (7530705).

Almost surely, 2221061240 is an apocalyptic number.

221061240 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 221061240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361473840).

221061240 is an abundant number, since it is smaller than the sum of its proper divisors (501886440).

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

221061240 is a wasteful number, since it uses less digits than its factorization.

221061240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3854 counting only the distinct ones).

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

The square root of 221061240 is about 14868.1283287440. The cubic root of 221061240 is about 604.6501996301.

The spelling of 221061240 in words is "two hundred twenty-one million, sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 167 180 334 360 501 668 835 1002 1336 1503 1670 2004 2505 3006 3340 3677 4008 5010 6012 6680 7354 7515 10020 11031 12024 14708 15030 18385 20040 22062 29416 30060 33093 36770 44124 55155 60120 66186 73540 88248 110310 132372 147080 165465 220620 264744 330930 441240 614059 661860 1228118 1323720 1842177 2456236 3070295 3684354 4912472 5526531 6140590 7368708 9210885 11053062 12281180 14737416 18421770 22106124 24562360 27632655 36843540 44212248 55265310 73687080 110530620 221061240