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194190024 = 23372694297
BaseRepresentation
bin10111001001100…
…01101011001000
3111112101212122010
423210301223020
5344203040044
631134055520
74545405450
oct1344615310
9445355563
10194190024
119a684926
125504a5a0
1331301952
141bb0cd60
15120acbb9
hexb931ac8

194190024 has 64 divisors (see below), whose sum is σ = 557020800. Its totient is φ = 55263744.

The previous prime is 194190011. The next prime is 194190047. The reversal of 194190024 is 420091491.

It is a super-2 number, since 2×1941900242 = 75419530842241152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 194189973 and 194190000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43044 + ... + 47340.

It is an arithmetic number, because the mean of its divisors is an integer number (8703450).

Almost surely, 2194190024 is an apocalyptic number.

194190024 is a gapful number since it is divisible by the number (14) 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 194190024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278510400).

194190024 is an abundant number, since it is smaller than the sum of its proper divisors (362830776).

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

194190024 is a wasteful number, since it uses less digits than its factorization.

194190024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 194190024 is about 13935.2080716436. The cubic root of 194190024 is about 579.0849860783.

The spelling of 194190024 in words is "one hundred ninety-four million, one hundred ninety thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 269 538 807 1076 1614 1883 2152 3228 3766 4297 5649 6456 7532 8594 11298 12891 15064 17188 22596 25782 30079 34376 45192 51564 60158 90237 103128 120316 180474 240632 360948 721896 1155893 2311786 3467679 4623572 6935358 8091251 9247144 13870716 16182502 24273753 27741432 32365004 48547506 64730008 97095012 194190024