Search a number
-
+
220212212010 = 23571761684093
BaseRepresentation
bin1100110100010110101…
…0111011000100101010
3210001101222010102220020
43031011222323010222
512101443311241020
6245055235541310
721624030626550
oct3150552730452
9701358112806
10220212212010
118543406424a
123681875a836
13179c596873b
14a930647bd0
155adcb5cc40
hex3345abb12a

220212212010 has 64 divisors (see below), whose sum is σ = 639540686592. Its totient is φ = 47373382656.

The previous prime is 220212211957. The next prime is 220212212063. The reversal of 220212212010 is 10212212022.

220212212010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220212211957) and next prime (220212212063).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30838477 + ... + 30845616.

It is an arithmetic number, because the mean of its divisors is an integer number (9992823228).

Almost surely, 2220212212010 is an apocalyptic number.

220212212010 is an abundant number, since it is smaller than the sum of its proper divisors (419328474582).

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

220212212010 is a wasteful number, since it uses less digits than its factorization.

220212212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61684127.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220212212010 its reverse (10212212022), we get a palindrome (230424424032).

The spelling of 220212212010 in words is "two hundred twenty billion, two hundred twelve million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 61684093 123368186 185052279 308420465 370104558 431788651 616840930 863577302 925261395 1048629581 1295365953 1850522790 2097259162 2158943255 2590731906 3145888743 4317886510 5243147905 6291777486 6476829765 7340407067 10486295810 12953659530 14680814134 15729443715 22021221201 31458887430 36702035335 44042442402 73404070670 110106106005 220212212010