Search a number
-
+
22478040 = 23335131601
BaseRepresentation
bin101010110111…
…1110011011000
31120022000002000
41111233303120
521223244130
62121441000
7362026434
oct125576330
946260060
1022478040
11117630a2
127640160
134870320
142db19c4
151e90260
hex156fcd8

22478040 has 128 divisors (see below), whose sum is σ = 80740800. Its totient is φ = 5529600.

The previous prime is 22478039. The next prime is 22478047. The reversal of 22478040 is 4087422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22477995 and 22478013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22478047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13240 + ... + 14840.

Almost surely, 222478040 is an apocalyptic number.

22478040 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 22478040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40370400).

22478040 is an abundant number, since it is smaller than the sum of its proper divisors (58262760).

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

22478040 is a wasteful number, since it uses less digits than its factorization.

22478040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22478040 is about 4741.1011379214. The cubic root of 22478040 is about 282.2189336514.

The spelling of 22478040 in words is "twenty-two million, four hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1601 1755 2340 2808 3202 3510 4680 4803 6404 7020 8005 9606 12808 14040 14409 16010 19212 20813 24015 28818 32020 38424 41626 43227 48030 57636 62439 64040 72045 83252 86454 96060 104065 115272 124878 144090 166504 172908 187317 192120 208130 216135 249756 288180 312195 345816 374634 416260 432270 499512 561951 576360 624390 749268 832520 864540 936585 1123902 1248780 1498536 1729080 1873170 2247804 2497560 2809755 3746340 4495608 5619510 7492680 11239020 22478040