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22201010000 = 245413170777
BaseRepresentation
bin10100101011010010…
…001000011101010000
32010022020010011100122
4110223102020131100
5330431424310000
614110552405412
71414106320451
oct245322103520
963266104318
1022201010000
119462989454
1243770a6868
13212a6a0c10
141108747128
1589e0d7085
hex52b488750

22201010000 has 100 divisors (see below), whose sum is σ = 57885886212. Its totient is φ = 8197248000.

The previous prime is 22201009979. The next prime is 22201010017. The reversal of 22201010000 is 1010222.

It can be written as a sum of positive squares in 10 ways, for example, as 21925317184 + 275692816 = 148072^2 + 16604^2 .

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 22201010000.

It is a congruent number.

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, 44612 + ... + 215388.

Almost surely, 222201010000 is an apocalyptic number.

22201010000 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 22201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942943106).

22201010000 is an abundant number, since it is smaller than the sum of its proper divisors (35684876212).

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

22201010000 is a wasteful number, since it uses less digits than its factorization.

22201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170818 (or 170797 counting only the distinct ones).

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

Adding to 22201010000 its reverse (1010222), we get a palindrome (22202020222).

The spelling of 22201010000 in words is "twenty-two billion, two hundred one million, ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 170777 341554 683108 853885 1366216 1707770 2220101 2732432 3415540 4269425 4440202 6831080 8538850 8880404 11100505 13662160 17077700 17760808 21347125 22201010 34155400 35521616 42694250 44402020 55502525 68310800 85388500 88804040 106735625 111005050 170777000 177608080 213471250 222010100 277512625 341554000 426942500 444020200 555025250 853885000 888040400 1110050500 1387563125 1707770000 2220101000 2775126250 4440202000 5550252500 11100505000 22201010000