Search a number
-
+
22212232332100 = 2252222122323321
BaseRepresentation
bin1010000110011101100000…
…01101111100001101000100
32220122110122122212220012021
411003032300031330031010
510402411122434111400
6115124054134332524
74451531552415526
oct503166015741504
986573578786167
1022212232332100
117094178097198
1225a8a677ba144
13c517b21966b5
1456b113607a16
15287bd014c71a
hex1433b037c344

22212232332100 has 18 divisors (see below), whose sum is σ = 48200544160874. Its totient is φ = 8884892932800.

The previous prime is 22212232332089. The next prime is 22212232332131. The reversal of 22212232332100 is 123323221222.

It can be written as a sum of positive squares in 3 ways, for example, as 1022800504896 + 21189431827204 = 1011336^2 + 4603198^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111061161561 + ... + 111061161760.

Almost surely, 222212232332100 is an apocalyptic number.

22212232332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212232332100 is an abundant number, since it is smaller than the sum of its proper divisors (25988311828774).

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

22212232332100 is a wasteful number, since it uses less digits than its factorization.

22212232332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222122323335 (or 222122323328 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22212232332100 its reverse (123323221222), we get a palindrome (22335555553322).

The spelling of 22212232332100 in words is "twenty-two trillion, two hundred twelve billion, two hundred thirty-two million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222122323321 444244646642 888489293284 1110611616605 2221223233210 4442446466420 5553058083025 11106116166050 22212232332100