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100222002 = 2335983379
BaseRepresentation
bin1011111100101…
…00010000110010
320222120210202000
411332110100302
5201124101002
613540034430
72324605266
oct576242062
9228523660
10100222002
1151633301
1229692a16
13179c087a
14d44c0a6
158bea61c
hex5f94432

100222002 has 64 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 32359824.

The previous prime is 100221983. The next prime is 100222009. The reversal of 100222002 is 200222001.

Adding to 100222002 its reverse (200222001), we get a palindrome (300444003).

Subtracting 100222002 from its reverse (200222001), we obtain a palindrome (99999999).

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 (100222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264249 + ... + 264627.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2100222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

100222002 is an abundant number, since it is smaller than the sum of its proper divisors (129601998).

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

100222002 is a wasteful number, since it uses less digits than its factorization.

100222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

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

The square root of 100222002 is about 10011.0939462179. The cubic root of 100222002 is about 464.5021101644.

The spelling of 100222002 in words is "one hundred million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 54 59 83 118 166 177 249 354 379 498 531 747 758 1062 1137 1494 1593 2241 2274 3186 3411 4482 4897 6822 9794 10233 14691 20466 22361 29382 31457 44073 44722 62914 67083 88146 94371 132219 134166 188742 201249 264438 283113 402498 566226 603747 849339 1207494 1698678 1855963 3711926 5567889 11135778 16703667 33407334 50111001 100222002