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145422000 = 2433532693
BaseRepresentation
bin10001010101011…
…11011010110000
3101010122012111000
420222233122300
5244212001000
622232522000
73414031563
oct1052573260
9333565430
10145422000
11750a5779
1240850300
1324188229
14154564da
15cb78000
hex8aaf6b0

145422000 has 160 divisors (see below), whose sum is σ = 521127360. Its totient is φ = 38764800.

The previous prime is 145421977. The next prime is 145422007. The reversal of 145422000 is 224541.

145422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454220002 = 42295116168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (145422007) 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, 52654 + ... + 55346.

It is an arithmetic number, because the mean of its divisors is an integer number (3257046).

Almost surely, 2145422000 is an apocalyptic number.

145422000 is a gapful number since it is divisible by the number (10) 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 145422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260563680).

145422000 is an abundant number, since it is smaller than the sum of its proper divisors (375705360).

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

145422000 is a wasteful number, since it uses less digits than its factorization.

145422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145422000 is about 12059.1044443607. The cubic root of 145422000 is about 525.8679520296.

Adding to 145422000 its reverse (224541), we get a palindrome (145646541).

The spelling of 145422000 in words is "one hundred forty-five million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2693 2700 3000 3375 3600 4500 5386 5400 6000 6750 8079 9000 10772 10800 13465 13500 16158 18000 21544 24237 26930 27000 32316 40395 43088 48474 53860 54000 64632 67325 72711 80790 96948 107720 121185 129264 134650 145422 161580 193896 201975 215440 242370 269300 290844 323160 336625 363555 387792 403950 484740 538600 581688 605925 646320 673250 727110 807900 969480 1009875 1077200 1163376 1211850 1346500 1454220 1615800 1817775 1938960 2019750 2423700 2693000 2908440 3029625 3231600 3635550 4039500 4847400 5386000 5816880 6059250 7271100 8079000 9088875 9694800 12118500 14542200 16158000 18177750 24237000 29084400 36355500 48474000 72711000 145422000