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218730996 = 223311184117
BaseRepresentation
bin11010000100110…
…01000111110100
3120020120200112000
431002121013310
5421443342441
633412055300
75264116461
oct1502310764
9506520460
10218730996
11102516920
1261304530
1336414c33
142109a668
15143092b6
hexd0991f4

218730996 has 48 divisors (see below), whose sum is σ = 618636480. Its totient is φ = 66281760.

The previous prime is 218730991. The next prime is 218731001. The reversal of 218730996 is 699037812.

It is an interprime number because it is at equal distance from previous prime (218730991) and next prime (218731001).

It is a super-2 number, since 2×2187309962 = 95686497222304032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218730991) 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 15 ways as a sum of consecutive naturals, for example, 90871 + ... + 93246.

It is an arithmetic number, because the mean of its divisors is an integer number (12888260).

Almost surely, 2218730996 is an apocalyptic number.

It is an amenable number.

218730996 is an abundant number, since it is smaller than the sum of its proper divisors (399905484).

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

218730996 is a wasteful number, since it uses less digits than its factorization.

218730996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184141 (or 184133 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 218730996 is about 14789.5569913368. The cubic root of 218730996 is about 602.5181170267.

The spelling of 218730996 in words is "two hundred eighteen million, seven hundred thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 184117 368234 552351 736468 1104702 1657053 2025287 2209404 3314106 4050574 4971159 6075861 6628212 8101148 9942318 12151722 18227583 19884636 24303444 36455166 54682749 72910332 109365498 218730996