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122202100 = 22525323057
BaseRepresentation
bin1110100100010…
…10011111110100
322111221111202201
413102022133310
5222240431400
620043114244
73012462226
oct722123764
9274844681
10122202100
1162a86279
1234b12984
131c418347
1412330416
15aadd06a
hex748a7f4

122202100 has 36 divisors (see below), whose sum is σ = 270193644. Its totient is φ = 47956480.

The previous prime is 122202079. The next prime is 122202109. The reversal of 122202100 is 1202221.

It can be written as a sum of positive squares in 6 ways, for example, as 8054244 + 114147856 = 2838^2 + 10684^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122202109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6229 + ... + 16828.

It is an arithmetic number, because the mean of its divisors is an integer number (7505379).

Almost surely, 2122202100 is an apocalyptic number.

122202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202100 is an abundant number, since it is smaller than the sum of its proper divisors (147991544).

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

122202100 is a wasteful number, since it uses less digits than its factorization.

122202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23124 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122202100 is about 11054.5058686492. The cubic root of 122202100 is about 496.2412815418.

Adding to 122202100 its reverse (1202221), we get a palindrome (123404321).

The spelling of 122202100 in words is "one hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 23057 46114 92228 115285 230570 461140 576425 1152850 1222021 2305700 2444042 4888084 6110105 12220210 24440420 30550525 61101050 122202100