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220505012 = 227134712889
BaseRepresentation
bin11010010010010…
…10001110110100
3120100220211000022
431021022032310
5422422130022
633514104312
75315155520
oct1511121664
9510824008
10220505012
11103518752
1261a1b098
13368b6550
14213dcd80
1514559c42
hexd24a3b4

220505012 has 48 divisors (see below), whose sum is σ = 485076480. Its totient is φ = 85370112.

The previous prime is 220504981. The next prime is 220505027. The reversal of 220505012 is 210505022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10664 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (10105760).

Almost surely, 2220505012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220505012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242538240).

220505012 is an abundant number, since it is smaller than the sum of its proper divisors (264571468).

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

220505012 is a wasteful number, since it uses less digits than its factorization.

220505012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 220505012 is about 14849.4111667770. The cubic root of 220505012 is about 604.1426391480.

The spelling of 220505012 in words is "two hundred twenty million, five hundred five thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 2444 4277 8554 12889 17108 25778 51556 90223 167557 180446 335114 360892 605783 670228 1172899 1211566 2345798 2423132 4240481 4691596 7875179 8480962 15750358 16961924 31500716 55126253 110252506 220505012