Search a number
-
+
22212230100 = 2235274040767
BaseRepresentation
bin10100101011111100…
…111011101111010100
32010100000020012102220
4110223330323233110
5330442312330400
614112033102340
71414303561224
oct245374735724
963300205386
1022212230100
119469252265
12437a9b79b0
13212cacbc28
14110a028084
158a00a17a0
hex52bf3bbd4

22212230100 has 36 divisors (see below), whose sum is σ = 64267386624. Its totient is φ = 5923261280.

The previous prime is 22212230083. The next prime is 22212230123. The reversal of 22212230100 is 103221222.

It is a happy number.

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 22212230100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37020084 + ... + 37020683.

It is an arithmetic number, because the mean of its divisors is an integer number (1785205184).

Almost surely, 222212230100 is an apocalyptic number.

22212230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212230100 is an abundant number, since it is smaller than the sum of its proper divisors (42055156524).

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

22212230100 is a wasteful number, since it uses less digits than its factorization.

22212230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74040784 (or 74040777 counting only the distinct ones).

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

Adding to 22212230100 its reverse (103221222), we get a palindrome (22315451322).

The spelling of 22212230100 in words is "twenty-two billion, two hundred twelve million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 74040767 148081534 222122301 296163068 370203835 444244602 740407670 888489204 1110611505 1480815340 1851019175 2221223010 3702038350 4442446020 5553057525 7404076700 11106115050 22212230100