Search a number
-
+
22010210000 = 24543476343
BaseRepresentation
bin10100011111111010…
…010010011011010000
32002210221002111221222
4110133322102123100
5330034103210000
614040015104212
71406301461312
oct243772223320
962727074858
1022010210000
11937520a5a9
124323212068
1320c9cb82cc
1410cb27b7b2
1588c498a85
hex51fe926d0

22010210000 has 100 divisors (see below), whose sum is σ = 53450915232. Its totient is φ = 8777328000.

The previous prime is 22010209981. The next prime is 22010210009. The reversal of 22010210000 is 1201022.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22010210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3466829 + ... + 3473171.

Almost surely, 222010210000 is an apocalyptic number.

22010210000 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 22010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26725457616).

22010210000 is an abundant number, since it is smaller than the sum of its proper divisors (31440705232).

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

22010210000 is an equidigital number, since it uses as much as digits as its factorization.

22010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22010210000 its reverse (1201022), we get a palindrome (22011411022).

The spelling of 22010210000 in words is "twenty-two billion, ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 347 400 500 625 694 1000 1250 1388 1735 2000 2500 2776 3470 5000 5552 6343 6940 8675 10000 12686 13880 17350 25372 27760 31715 34700 43375 50744 63430 69400 86750 101488 126860 138800 158575 173500 216875 253720 317150 347000 433750 507440 634300 694000 792875 867500 1268600 1585750 1735000 2201021 2537200 3171500 3470000 3964375 4402042 6343000 7928750 8804084 11005105 12686000 15857500 17608168 22010210 31715000 35216336 44020420 55025525 63430000 88040840 110051050 176081680 220102100 275127625 440204200 550255250 880408400 1100510500 1375638125 2201021000 2751276250 4402042000 5502552500 11005105000 22010210000