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25422000 = 2435319223
BaseRepresentation
bin110000011111…
…0100010110000
31202211120102120
41200332202300
523002001000
62304514240
7426040422
oct140764260
952746376
1025422000
1113393a1a
12861b980
135361306
14353a812
1523726a0
hex183e8b0

25422000 has 160 divisors (see below), whose sum is σ = 86661120. Its totient is φ = 6393600.

The previous prime is 25421999. The next prime is 25422013. The reversal of 25422000 is 22452.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113889 + ... + 114111.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 225422000 is an apocalyptic number.

25422000 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 25422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

25422000 is an abundant number, since it is smaller than the sum of its proper divisors (61239120).

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

25422000 is a wasteful number, since it uses less digits than its factorization.

25422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 25422000 is about 5042.0234033570. The cubic root of 25422000 is about 294.0378497246.

Adding to 25422000 its sum of digits (15), we get a triangular number (25422015 = T7130).

Adding to 25422000 its reverse (22452), we get a palindrome (25444452).

The spelling of 25422000 in words is "twenty-five million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 125 150 152 190 200 223 228 240 250 285 300 304 375 380 400 446 456 475 500 570 600 669 750 760 892 912 950 1000 1115 1140 1200 1338 1425 1500 1520 1784 1900 2000 2230 2280 2375 2676 2850 3000 3345 3568 3800 4237 4460 4560 4750 5352 5575 5700 6000 6690 7125 7600 8474 8920 9500 10704 11150 11400 12711 13380 14250 16725 16948 17840 19000 21185 22300 22800 25422 26760 27875 28500 33450 33896 38000 42370 44600 50844 53520 55750 57000 63555 66900 67792 83625 84740 89200 101688 105925 111500 114000 127110 133800 167250 169480 203376 211850 223000 254220 267600 317775 334500 338960 423700 446000 508440 529625 635550 669000 847400 1016880 1059250 1271100 1338000 1588875 1694800 2118500 2542200 3177750 4237000 5084400 6355500 8474000 12711000 25422000