Search a number
-
+
22010221000 = 2353107205703
BaseRepresentation
bin10100011111111010…
…010101000111001000
32002210221010002001101
4110133322111013020
5330034104033000
614040015231144
71406301535345
oct243772250710
962727102041
1022010221000
119375217899
1243232184b4
1320c9cc0311
1410cb2817cc
1588c49be6a
hex51fe951c8

22010221000 has 64 divisors (see below), whose sum is σ = 51985514880. Its totient is φ = 8721764800.

The previous prime is 22010220983. The next prime is 22010221007. The reversal of 22010221000 is 12201022.

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

It is not an unprimeable number, because it can be changed into a prime (22010221007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4149 + ... + 209851.

It is an arithmetic number, because the mean of its divisors is an integer number (812273670).

Almost surely, 222010221000 is an apocalyptic number.

22010221000 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 22010221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25992757440).

22010221000 is an abundant number, since it is smaller than the sum of its proper divisors (29975293880).

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

22010221000 is a wasteful number, since it uses less digits than its factorization.

22010221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205831 (or 205817 counting only the distinct ones).

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

Adding to 22010221000 its reverse (12201022), we get a palindrome (22022422022).

It can be divided in two parts, 2201022 and 1000, that added together give a palindrome (2202022).

The spelling of 22010221000 in words is "twenty-two billion, ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 21400 26750 53500 107000 205703 411406 822812 1028515 1645624 2057030 4114060 5142575 8228120 10285150 20570300 22010221 25712875 41140600 44020442 51425750 88040884 102851500 110051105 176081768 205703000 220102210 440204420 550255525 880408840 1100511050 2201022100 2751277625 4402044200 5502555250 11005110500 22010221000