Search a number
-
+
220212010000 = 2454178712323
BaseRepresentation
bin1100110100010110101…
…0001001110000010000
3210001101221202011210101
43031011222021300100
512101443233310000
6245055231342144
721624026125603
oct3150552116020
9701357664711
10220212010000
1185433a364a4
1236818681954
13179c58c77c8
14a9305d433a
155adcb1ce6a
hex3345a89c10

220212010000 has 100 divisors (see below), whose sum is σ = 533496938832. Its totient is φ = 88028368000.

The previous prime is 220212009989. The next prime is 220212010027. The reversal of 220212010000 is 10212022.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 17863839 + ... + 17876161.

Almost surely, 2220212010000 is an apocalyptic number.

220212010000 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 220212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266748469416).

220212010000 is an abundant number, since it is smaller than the sum of its proper divisors (313284928832).

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

220212010000 is a wasteful number, since it uses less digits than its factorization.

220212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14138 (or 14117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220212010000 its reverse (10212022), we get a palindrome (220222222022).

The spelling of 220212010000 in words is "two hundred twenty billion, two hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1787 2000 2500 3574 5000 7148 8935 10000 12323 14296 17870 24646 28592 35740 44675 49292 61615 71480 89350 98584 123230 142960 178700 197168 223375 246460 308075 357400 446750 492920 616150 714800 893500 985840 1116875 1232300 1540375 1787000 2233750 2464600 3080750 3574000 4467500 4929200 6161500 7701875 8935000 12323000 15403750 17870000 22021201 24646000 30807500 44042402 61615000 88084804 110106005 123230000 176169608 220212010 352339216 440424020 550530025 880848040 1101060050 1761696080 2202120100 2752650125 4404240200 5505300250 8808480400 11010600500 13763250625 22021201000 27526501250 44042402000 55053002500 110106005000 220212010000