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193295016 = 233212721139
BaseRepresentation
bin10111000010101…
…11001010101000
3111110201101220200
423201113022220
5343440420031
631102552200
74534660215
oct1341271250
9443641820
10193295016
119a123452
1254898660
133107a465
141b958b0c
1511e828e6
hexb8572a8

193295016 has 48 divisors (see below), whose sum is σ = 527654400. Its totient is φ = 63921312.

The previous prime is 193294987. The next prime is 193295023. The reversal of 193295016 is 610592391.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1426 + ... + 19713.

It is an arithmetic number, because the mean of its divisors is an integer number (10992800).

Almost surely, 2193295016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193295016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263827200).

193295016 is an abundant number, since it is smaller than the sum of its proper divisors (334359384).

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

193295016 is a wasteful number, since it uses less digits than its factorization.

193295016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21278 (or 21271 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 193295016 is about 13903.0577931619. The cubic root of 193295016 is about 578.1939619551.

The spelling of 193295016 in words is "one hundred ninety-three million, two hundred ninety-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 21139 42278 63417 84556 126834 169112 190251 253668 380502 507336 761004 1522008 2684653 5369306 8053959 10738612 16107918 21477224 24161877 32215836 48323754 64431672 96647508 193295016