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10002216 = 2337292053
BaseRepresentation
bin100110001001…
…111100101000
3200211011110110
4212021330220
510030032331
6554214320
7151005660
oct46117450
920734413
1010002216
1157118a4
1234243a0
1320c2893
1414851a0
15d28946
hex989f28

10002216 has 64 divisors (see below), whose sum is σ = 29577600. Its totient is φ = 2757888.

The previous prime is 10002203. The next prime is 10002257. The reversal of 10002216 is 61220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3846 + ... + 5898.

It is an arithmetic number, because the mean of its divisors is an integer number (462150).

Almost surely, 210002216 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 10002216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788800).

10002216 is an abundant number, since it is smaller than the sum of its proper divisors (19575384).

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

10002216 is a wasteful number, since it uses less digits than its factorization.

10002216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10002216 is about 3162.6280211242. The cubic root of 10002216 is about 215.4593819187.

Adding to 10002216 its reverse (61220001), we get a palindrome (71222217).

The spelling of 10002216 in words is "ten million, two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2053 2436 4106 4872 6159 8212 12318 14371 16424 24636 28742 43113 49272 57484 59537 86226 114968 119074 172452 178611 238148 344904 357222 416759 476296 714444 833518 1250277 1428888 1667036 2500554 3334072 5001108 10002216