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100432220 = 2257292853
BaseRepresentation
bin1011111110001…
…11100101011100
320222222111002212
411333013211130
5201202312340
613544335552
72326442210
oct577074534
9228874085
10100432220
1151767239
12297745b8
1317a65465
14d4a4940
158c3ca65
hex5fc795c

100432220 has 72 divisors (see below), whose sum is σ = 249928224. Its totient is φ = 33207552.

The previous prime is 100432217. The next prime is 100432223. The reversal of 100432220 is 22234001.

It is an interprime number because it is at equal distance from previous prime (100432217) and next prime (100432223).

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

It is a junction number, because it is equal to n+sod(n) for n = 100432195 and 100432204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100432223) 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, 117314 + ... + 118166.

Almost surely, 2100432220 is an apocalyptic number.

100432220 is a gapful number since it is divisible by the number (10) 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 100432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124964112).

100432220 is an abundant number, since it is smaller than the sum of its proper divisors (149496004).

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

100432220 is a wasteful number, since it uses less digits than its factorization.

100432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 100432220 is about 10021.5876985635. The cubic root of 100432220 is about 464.8266513829.

Adding to 100432220 its reverse (22234001), we get a palindrome (122666221).

The spelling of 100432220 in words is "one hundred million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 853 1015 1682 1706 2030 3364 3412 4060 4205 4265 5887 5971 8410 8530 11774 11942 16820 17060 23548 23884 24737 29435 29855 49474 58870 59710 98948 117740 119420 123685 173159 247370 346318 494740 692636 717373 865795 1434746 1731590 2869492 3463180 3586865 5021611 7173730 10043222 14347460 20086444 25108055 50216110 100432220