Search a number
-
+
22134096 = 24322341163
BaseRepresentation
bin101010001101…
…1110101010000
31112122112021100
41110123311100
521131242341
62110224400
7356064615
oct124336520
945575240
1022134096
1111548746
1274b5100
13477c8ca
142d2250c
151e233b6
hex151bd50

22134096 has 120 divisors (see below), whose sum is σ = 66620736. Its totient is φ = 6842880.

The previous prime is 22134071. The next prime is 22134097. The reversal of 22134096 is 69043122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135711 + ... + 135873.

Almost surely, 222134096 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 22134096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33310368).

22134096 is an abundant number, since it is smaller than the sum of its proper divisors (44486640).

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

22134096 is a wasteful number, since it uses less digits than its factorization.

22134096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22134096 is about 4704.6887250912. The cubic root of 22134096 is about 280.7720867376.

The spelling of 22134096 in words is "twenty-two million, one hundred thirty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 41 46 48 69 72 82 92 123 138 144 163 164 184 207 246 276 326 328 368 369 414 489 492 552 652 656 738 828 943 978 984 1104 1304 1467 1476 1656 1886 1956 1968 2608 2829 2934 2952 3312 3749 3772 3912 5658 5868 5904 6683 7498 7544 7824 8487 11247 11316 11736 13366 14996 15088 16974 20049 22494 22632 23472 26732 29992 33741 33948 40098 44988 45264 53464 59984 60147 67482 67896 80196 89976 106928 120294 134964 135792 153709 160392 179952 240588 269928 307418 320784 461127 481176 539856 614836 922254 962352 1229672 1383381 1844508 2459344 2766762 3689016 5533524 7378032 11067048 22134096