Search a number
-
+
22211020320 = 253546272959
BaseRepresentation
bin10100101011111000…
…010100011000100000
32010022220221201221020
4110223320110120200
5330442010122240
614111551125440
71414260362166
oct245370243040
963286851836
1022211020320
1194685a6345
12437a513880
13212c797398
141109bd1236
1589ee130d0
hex52be14620

22211020320 has 48 divisors (see below), whose sum is σ = 69964715520. Its totient is φ = 5922938624.

The previous prime is 22211020309. The next prime is 22211020331. The reversal of 22211020320 is 2302011222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22211020309) and next prime (22211020331).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22211020320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23136000 + ... + 23136959.

It is an arithmetic number, because the mean of its divisors is an integer number (1457598240).

Almost surely, 222211020320 is an apocalyptic number.

22211020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211020320 is an abundant number, since it is smaller than the sum of its proper divisors (47753695200).

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

22211020320 is a wasteful number, since it uses less digits than its factorization.

22211020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46272977 (or 46272969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22211020320 its reverse (2302011222), we get a palindrome (24513031542).

The spelling of 22211020320 in words is "twenty-two billion, two hundred eleven million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 46272959 92545918 138818877 185091836 231364795 277637754 370183672 462729590 555275508 694094385 740367344 925459180 1110551016 1388188770 1480734688 1850918360 2221102032 2776377540 3701836720 4442204064 5552755080 7403673440 11105510160 22211020320