Search a number
-
+
2922192 = 2432713223
BaseRepresentation
bin1011001001011011010000
312111110111100
423021123100
51222002232
6142344400
733560340
oct13113320
95443440
102922192
111716539
12b8b100
137b4110
14560d20
153cac7c
hex2c96d0

2922192 has 120 divisors (see below), whose sum is σ = 10110464. Its totient is φ = 767232.

The previous prime is 2922191. The next prime is 2922203. The reversal of 2922192 is 2912292.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2922191) 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, 12993 + ... + 13215.

22922192 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 2922192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055232).

2922192 is an abundant number, since it is smaller than the sum of its proper divisors (7188272).

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

2922192 is a wasteful number, since it uses less digits than its factorization.

2922192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2922192 is about 1709.4420142257. The cubic root of 2922192 is about 142.9671465107.

The spelling of 2922192 in words is "two million, nine hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 223 234 252 273 312 336 364 446 468 504 546 624 669 728 819 892 936 1008 1092 1338 1456 1561 1638 1784 1872 2007 2184 2676 2899 3122 3276 3568 4014 4368 4683 5352 5798 6244 6552 8028 8697 9366 10704 11596 12488 13104 14049 16056 17394 18732 20293 23192 24976 26091 28098 32112 34788 37464 40586 46384 52182 56196 60879 69576 74928 81172 104364 112392 121758 139152 162344 182637 208728 224784 243516 324688 365274 417456 487032 730548 974064 1461096 2922192