Search a number
-
+
20222100 = 22325222469
BaseRepresentation
bin100110100100…
…1000010010100
31102001101111200
41031021002110
520134101400
62001232500
7333612363
oct115110224
942041450
1020222100
1110462188
126932730
134260552
1429857da
151b96b00
hex1349094

20222100 has 54 divisors (see below), whose sum is σ = 63387870. Its totient is φ = 5392320.

The previous prime is 20222087. The next prime is 20222101. The reversal of 20222100 is 122202.

It can be written as a sum of positive squares in 3 ways, for example, as 2883204 + 17338896 = 1698^2 + 4164^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10335 + ... + 12134.

Almost surely, 220222100 is an apocalyptic number.

20222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222100 is an abundant number, since it is smaller than the sum of its proper divisors (43165770).

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

20222100 is a wasteful number, since it uses less digits than its factorization.

20222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22489 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 20222100 is about 4496.8989314860. The cubic root of 20222100 is about 272.4428519724.

Adding to 20222100 its reverse (122202), we get a palindrome (20344302).

The spelling of 20222100 in words is "twenty million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22469 44938 67407 89876 112345 134814 202221 224690 269628 337035 404442 449380 561725 674070 808884 1011105 1123450 1348140 1685175 2022210 2246900 3370350 4044420 5055525 6740700 10111050 20222100