Search a number
-
+
22849440 = 2535181263
BaseRepresentation
bin101011100101…
…0011110100000
31120222212112120
41113022132200
521322140230
62133424240
7365134305
oct127123640
946885476
1022849440
1111997139
12779b080
1349703a3
14306b0ac
152015310
hex15ca7a0

22849440 has 96 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 6036480.

The previous prime is 22849429. The next prime is 22849447. The reversal of 22849440 is 4494822.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22849447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86749 + ... + 87011.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 222849440 is an apocalyptic number.

22849440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

22849440 is an abundant number, since it is smaller than the sum of its proper divisors (49799136).

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

22849440 is a wasteful number, since it uses less digits than its factorization.

22849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 22849440 is about 4780.1087853730. The cubic root of 22849440 is about 283.7647989849.

The spelling of 22849440 in words is "twenty-two million, eight hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 263 362 480 526 543 724 789 905 1052 1086 1315 1448 1578 1810 2104 2172 2630 2715 2896 3156 3620 3945 4208 4344 5260 5430 5792 6312 7240 7890 8416 8688 10520 10860 12624 14480 15780 17376 21040 21720 25248 28960 31560 42080 43440 47603 63120 86880 95206 126240 142809 190412 238015 285618 380824 476030 571236 714045 761648 952060 1142472 1428090 1523296 1904120 2284944 2856180 3808240 4569888 5712360 7616480 11424720 22849440