Search a number
-
+
220212000020 = 225175973150379
BaseRepresentation
bin1100110100010110101…
…0000111010100010100
3210001101221201200002202
43031011222013110110
512101443233000040
6245055231224032
721624026054525
oct3150552072424
9701357650082
10220212000020
1185433a29a51
1236818678018
13179c58c30bc
14a9305d084c
155adcb1a015
hex3345a87514

220212000020 has 96 divisors (see below), whose sum is σ = 504771523200. Its totient is φ = 80381251584.

The previous prime is 220212000017. The next prime is 220212000061. The reversal of 220212000020 is 20000212022.

It is a junction number, because it is equal to n+sod(n) for n = 220211999965 and 220212000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389191 + ... + 1539569.

It is an arithmetic number, because the mean of its divisors is an integer number (5258036700).

Almost surely, 2220212000020 is an apocalyptic number.

220212000020 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 220212000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252385761600).

220212000020 is an abundant number, since it is smaller than the sum of its proper divisors (284559523180).

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

220212000020 is a wasteful number, since it uses less digits than its factorization.

220212000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150537 (or 150535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 220212000020 its reverse (20000212022), we get a palindrome (240212212042).

The spelling of 220212000020 in words is "two hundred twenty billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 59 68 73 85 118 146 170 236 292 295 340 365 590 730 1003 1180 1241 1460 2006 2482 4012 4307 4964 5015 6205 8614 10030 12410 17228 20060 21535 24820 43070 73219 86140 146438 150379 292876 300758 366095 601516 732190 751895 1464380 1503790 2556443 3007580 5112886 8872361 10225772 10977667 12782215 17744722 21955334 25564430 35489444 43910668 44361805 51128860 54888335 88723610 109776670 150830137 177447220 186620339 219553340 301660274 373240678 603320548 647682353 746481356 754150685 933101695 1295364706 1508301370 1866203390 2590729412 3016602740 3238411765 3732406780 6476823530 11010600001 12953647060 22021200002 44042400004 55053000005 110106000010 220212000020