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220212312 = 23329417717
BaseRepresentation
bin11010010000000…
…10110001011000
3120100100221111120
431020002301120
5422333243222
633503525240
75312526255
oct1510026130
9510327446
10220212312
11103338851
12618b9820
1336813258
142136442c
15144ed15c
hexd202c58

220212312 has 64 divisors (see below), whose sum is σ = 583480800. Its totient is φ = 69135360.

The previous prime is 220212301. The next prime is 220212323. The reversal of 220212312 is 213212022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220212301) and next prime (220212323).

It is a junction number, because it is equal to n+sod(n) for n = 220212291 and 220212300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24678 + ... + 32394.

Almost surely, 2220212312 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 220212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291740400).

220212312 is an abundant number, since it is smaller than the sum of its proper divisors (363268488).

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

220212312 is a wasteful number, since it uses less digits than its factorization.

220212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220212312 is about 14839.5522843514. The cubic root of 220212312 is about 603.8752062984.

Adding to 220212312 its reverse (213212022), we get a palindrome (433424334).

The spelling of 220212312 in words is "two hundred twenty million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 696 984 1189 2378 3567 4756 7134 7717 9512 14268 15434 23151 28536 30868 46302 61736 92604 185208 223793 316397 447586 632794 671379 895172 949191 1265588 1342758 1790344 1898382 2531176 2685516 3796764 5371032 7593528 9175513 18351026 27526539 36702052 55053078 73404104 110106156 220212312