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12219088 = 247791381
BaseRepresentation
bin101110100111…
…001011010000
3211222210102211
4232213023100
511112002323
61113521504
7205601110
oct56471320
924883384
1012219088
116996422
124113294
1326ba93b
1418a1040
15111570d
hexba72d0

12219088 has 40 divisors (see below), whose sum is σ = 27418880. Its totient is φ = 5166720.

The previous prime is 12219061. The next prime is 12219089. The reversal of 12219088 is 88091221.

It is a happy number.

12219088 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122190882 = 298612223103488, which contains 22 as substring.

12219088 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12219089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8158 + ... + 9538.

It is an arithmetic number, because the mean of its divisors is an integer number (685472).

Almost surely, 212219088 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 12219088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709440).

12219088 is an abundant number, since it is smaller than the sum of its proper divisors (15199792).

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

12219088 is a wasteful number, since it uses less digits than its factorization.

12219088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12219088 is about 3495.5812106143. The cubic root of 12219088 is about 230.3277494970.

The spelling of 12219088 in words is "twelve million, two hundred nineteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1106 1264 1381 2212 2762 4424 5524 8848 9667 11048 19334 22096 38668 77336 109099 154672 218198 436396 763693 872792 1527386 1745584 3054772 6109544 12219088