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42200100 = 22325246889
BaseRepresentation
bin1010000011111…
…0110000100100
32221101222122200
42200332300210
541300400400
64104254500
71021460235
oct240766044
987358580
1042200100
1121903618
1212171430
138987097
14586708c
153a88b00
hex283ec24

42200100 has 54 divisors (see below), whose sum is σ = 132276690. Its totient is φ = 11253120.

The previous prime is 42200087. The next prime is 42200107. The reversal of 42200100 is 100224.

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 39614436 = 1608^2 + 6294^2 .

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 (42200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22545 + ... + 24344.

Almost surely, 242200100 is an apocalyptic number.

It is an amenable number.

42200100 is an abundant number, since it is smaller than the sum of its proper divisors (90076590).

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

42200100 is a wasteful number, since it uses less digits than its factorization.

42200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46909 (or 46899 counting only the distinct ones).

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

The square root of 42200100 is about 6496.1604044235. The cubic root of 42200100 is about 348.1538162678.

Adding to 42200100 its reverse (100224), we get a palindrome (42300324).

The spelling of 42200100 in words is "forty-two million, two hundred 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 46889 93778 140667 187556 234445 281334 422001 468890 562668 703335 844002 937780 1172225 1406670 1688004 2110005 2344450 2813340 3516675 4220010 4688900 7033350 8440020 10550025 14066700 21100050 42200100