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12220192 = 2519101199
BaseRepresentation
bin101110100111…
…011100100000
3211222211221201
4232213130200
511112021232
61113530544
7205604245
oct56473440
924884851
1012220192
116997236
124113a54
1326bb2aa
1418a15cc
151115be7
hexba7720

12220192 has 48 divisors (see below), whose sum is σ = 25704000. Its totient is φ = 5702400.

The previous prime is 12220183. The next prime is 12220193. The reversal of 12220192 is 29102221.

12220192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12220193) 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, 61309 + ... + 61507.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 212220192 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 12220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852000).

12220192 is an abundant number, since it is smaller than the sum of its proper divisors (13483808).

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

12220192 is a wasteful number, since it uses less digits than its factorization.

12220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12220192 is about 3495.7391207011. The cubic root of 12220192 is about 230.3346860261.

The spelling of 12220192 in words is "twelve million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 76 101 152 199 202 304 398 404 608 796 808 1592 1616 1919 3184 3232 3781 3838 6368 7562 7676 15124 15352 20099 30248 30704 40198 60496 61408 80396 120992 160792 321584 381881 643168 763762 1527524 3055048 6110096 12220192