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163114000 = 2453761191
BaseRepresentation
bin10011011100011…
…10110000010000
3102100221001100021
421232032300100
5313224122000
624104033224
74020306010
oct1156166020
9370831307
10163114000
1184089a65
1246762814
1327a40c7a
141793dc40
15e4c011a
hex9b8ec10

163114000 has 160 divisors (see below), whose sum is σ = 460541952. Its totient is φ = 54720000.

The previous prime is 163113991. The next prime is 163114001. The reversal of 163114000 is 411361.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (163114001) 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, 853905 + ... + 854095.

Almost surely, 2163114000 is an apocalyptic number.

163114000 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 163114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230270976).

163114000 is an abundant number, since it is smaller than the sum of its proper divisors (297427952).

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

163114000 is a wasteful number, since it uses less digits than its factorization.

163114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 163114000 is about 12771.6091390239. The cubic root of 163114000 is about 546.3828753725.

Adding to 163114000 its reverse (411361), we get a palindrome (163525361).

The spelling of 163114000 in words is "one hundred sixty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 61 70 80 100 112 122 125 140 175 191 200 244 250 280 305 350 382 400 427 488 500 560 610 700 764 854 875 955 976 1000 1220 1337 1400 1525 1528 1708 1750 1910 2000 2135 2440 2674 2800 3050 3056 3416 3500 3820 4270 4775 4880 5348 6100 6685 6832 7000 7625 7640 8540 9550 10675 10696 11651 12200 13370 14000 15250 15280 17080 19100 21350 21392 23302 23875 24400 26740 30500 33425 34160 38200 42700 46604 47750 53375 53480 58255 61000 66850 76400 81557 85400 93208 95500 106750 106960 116510 122000 133700 163114 167125 170800 186416 191000 213500 233020 267400 291275 326228 334250 382000 407785 427000 466040 534800 582550 652456 668500 815570 854000 932080 1165100 1304912 1337000 1456375 1631140 2038925 2330200 2674000 2912750 3262280 4077850 4660400 5825500 6524560 8155700 10194625 11651000 16311400 20389250 23302000 32622800 40778500 81557000 163114000