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22234210100 = 22522947163127
BaseRepresentation
bin10100101101010000…
…110001111100110100
32010101112120220022222
4110231100301330310
5331013424210400
614114140141512
71414661444654
oct245520617464
963345526288
1022234210100
11947a6a5153
124386237898
13213452664b
14110cd0a364
158a1e94185
hex52d431f34

22234210100 has 72 divisors (see below), whose sum is σ = 50974237440. Its totient is φ = 8404251520.

The previous prime is 22234210081. The next prime is 22234210109. The reversal of 22234210100 is 101243222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54737 + ... + 217863.

It is an arithmetic number, because the mean of its divisors is an integer number (707975520).

Almost surely, 222234210100 is an apocalyptic number.

22234210100 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 22234210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25487118720).

22234210100 is an abundant number, since it is smaller than the sum of its proper divisors (28740027340).

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

22234210100 is a wasteful number, since it uses less digits than its factorization.

22234210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163217 (or 163210 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22234210100 its reverse (101243222), we get a palindrome (22335453322).

The spelling of 22234210100 in words is "twenty-two billion, two hundred thirty-four million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 580 725 940 1175 1363 1450 2350 2726 2900 4700 5452 6815 13630 27260 34075 68150 136300 163127 326254 652508 815635 1631270 3262540 4078175 4730683 7666969 8156350 9461366 15333938 16312700 18922732 23653415 30667876 38334845 47306830 76669690 94613660 118267075 153339380 191674225 222342101 236534150 383348450 444684202 473068300 766696900 889368404 1111710505 2223421010 4446842020 5558552525 11117105050 22234210100