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100220208 = 24311672833
BaseRepresentation
bin1011111100100…
…11110100110000
320222120201021120
411332103310300
5201124021313
613540022240
72324600124
oct576236460
9228521246
10100220208
1151631a20
1229691980
13179bcaca
14d44b584
158be9d23
hex5f93d30

100220208 has 80 divisors (see below), whose sum is σ = 286755456. Its totient is φ = 29905920.

The previous prime is 100220203. The next prime is 100220209. The reversal of 100220208 is 802022001.

It is not an unprimeable number, because it can be changed into a prime (100220203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33960 + ... + 36792.

Almost surely, 2100220208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143377728).

100220208 is an abundant number, since it is smaller than the sum of its proper divisors (186535248).

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

100220208 is a wasteful number, since it uses less digits than its factorization.

100220208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100220208 is about 10011.0043452193. The cubic root of 100220208 is about 464.4993385782.

Adding to 100220208 its reverse (802022001), we get a palindrome (902242209).

The spelling of 100220208 in words is "one hundred million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2833 2948 3216 4422 5666 5896 8499 8844 11332 11792 16998 17688 22664 31163 33996 35376 45328 62326 67992 93489 124652 135984 186978 189811 249304 373956 379622 498608 569433 747912 759244 1138866 1495824 1518488 2087921 2277732 3036976 4175842 4555464 6263763 8351684 9110928 12527526 16703368 25055052 33406736 50110104 100220208