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22130100 = 22325267367
BaseRepresentation
bin101010001101…
…0110110110100
31112122022210100
41110122312310
521131130400
62110154100
7356050146
oct124326664
945568710
1022130100
1111545743
1274b2930
13477ab45
142d20c96
151e22100
hex151adb4

22130100 has 108 divisors (see below), whose sum is σ = 70592704. Its totient is φ = 5797440.

The previous prime is 22130099. The next prime is 22130113. The reversal of 22130100 is 103122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60117 + ... + 60483.

Almost surely, 222130100 is an apocalyptic number.

22130100 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 22130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35296352).

22130100 is an abundant number, since it is smaller than the sum of its proper divisors (48462604).

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

22130100 is a wasteful number, since it uses less digits than its factorization.

22130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 22130100 is about 4704.2640232028. The cubic root of 22130100 is about 280.7551892358.

Adding to 22130100 its reverse (103122), we get a palindrome (22233222).

The spelling of 22130100 in words is "twenty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 367 402 450 603 670 734 804 900 1005 1101 1206 1340 1468 1675 1835 2010 2202 2412 3015 3303 3350 3670 4020 4404 5025 5505 6030 6606 6700 7340 9175 10050 11010 12060 13212 15075 16515 18350 20100 22020 24589 27525 30150 33030 36700 49178 55050 60300 66060 73767 82575 98356 110100 122945 147534 165150 221301 245890 295068 330300 368835 442602 491780 614725 737670 885204 1106505 1229450 1475340 1844175 2213010 2458900 3688350 4426020 5532525 7376700 11065050 22130100