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216151007 = 2983891009
BaseRepresentation
bin11001110001000…
…11001111011111
3120001201121102212
430320203033133
5420313313012
633240511035
75233152602
oct1470431737
9501647385
10216151007
111010144a6
126047b47b
1335a20807
14209c8339
1513e99b22
hexce233df

216151007 has 16 divisors (see below), whose sum is σ = 229068000. Its totient is φ = 203664384.

The previous prime is 216150967. The next prime is 216151027. The reversal of 216151007 is 700151612.

It is a cyclic number.

It is not a de Polignac number, because 216151007 - 218 = 215888863 is a prime.

It is a super-2 number, since 2×2161510072 = 93442515654228098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216151027) 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 15 ways as a sum of consecutive naturals, for example, 213719 + ... + 214727.

It is an arithmetic number, because the mean of its divisors is an integer number (14316750).

Almost surely, 2216151007 is an apocalyptic number.

216151007 is a deficient number, since it is larger than the sum of its proper divisors (12916993).

216151007 is a wasteful number, since it uses less digits than its factorization.

216151007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 216151007 is about 14702.0749215884. The cubic root of 216151007 is about 600.1397887256.

It can be divided in two parts, 21615 and 1007, that added together give a palindrome (22622).

The spelling of 216151007 in words is "two hundred sixteen million, one hundred fifty-one thousand, seven".

Divisors: 1 29 83 89 1009 2407 2581 7387 29261 83747 89801 214223 2428663 2604229 7453483 216151007