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100022220 = 223251732687
BaseRepresentation
bin1011111011000…
…11011111001100
320222012122200200
411331203133030
5201101202340
613531453500
72323113654
oct575433714
9228178620
10100022220
11515071a1
12295b7290
131795095c
14d3d9364
158bab330
hex5f637cc

100022220 has 72 divisors (see below), whose sum is σ = 321257664. Its totient is φ = 25102848.

The previous prime is 100022201. The next prime is 100022227. The reversal of 100022220 is 22220001.

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

It is not an unprimeable number, because it can be changed into a prime (100022227) 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, 13284 + ... + 19403.

It is an arithmetic number, because the mean of its divisors is an integer number (4461912).

Almost surely, 2100022220 is an apocalyptic number.

100022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022220 is an abundant number, since it is smaller than the sum of its proper divisors (221235444).

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

100022220 is a wasteful number, since it uses less digits than its factorization.

100022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719 (or 32714 counting only the distinct ones).

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

The square root of 100022220 is about 10001.1109382908. The cubic root of 100022220 is about 464.1932595166.

Adding to 100022220 its reverse (22220001), we get a palindrome (122242221).

It can be divided in two parts, 1000 and 22220, that added together give a triangular number (23220 = T215).

The spelling of 100022220 in words is "one hundred million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 32687 65374 98061 130748 163435 196122 294183 326870 392244 490305 555679 588366 653740 980610 1111358 1176732 1470915 1667037 1961220 2222716 2778395 2941830 3334074 5001111 5556790 5883660 6668148 8335185 10002222 11113580 16670370 20004444 25005555 33340740 50011110 100022220