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20722100 = 2252724229
BaseRepresentation
bin100111100001…
…1000110110100
31102222210101012
41033003012310
520301101400
62020051352
7341064200
oct117030664
942883335
1020722100
1110773903
126b33b58
1343a6cc9
142a75b00
151c44d35
hex13c31b4

20722100 has 54 divisors (see below), whose sum is σ = 52320870. Its totient is φ = 7103040.

The previous prime is 20722073. The next prime is 20722123. The reversal of 20722100 is 122702.

It can be written as a sum of positive squares in 3 ways, for example, as 6853924 + 13868176 = 2618^2 + 3724^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2786 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (968905).

Almost surely, 220722100 is an apocalyptic number.

20722100 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 20722100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26160435).

20722100 is an abundant number, since it is smaller than the sum of its proper divisors (31598770).

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

20722100 is a wasteful number, since it uses less digits than its factorization.

20722100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 20722100 is about 4552.1533366090. The cubic root of 20722100 is about 274.6700174233.

Adding to 20722100 its reverse (122702), we get a palindrome (20844802).

The spelling of 20722100 in words is "twenty million, seven hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4229 4900 8458 16916 21145 29603 42290 59206 84580 105725 118412 148015 207221 211450 296030 414442 422900 592060 740075 828884 1036105 1480150 2072210 2960300 4144420 5180525 10361050 20722100