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193321830 = 235132917093
BaseRepresentation
bin10111000010111…
…01101101100110
3111110202202200210
423201131231212
5343442244310
631103320250
74535131332
oct1341355546
9443682623
10193321830
119a141609
12548b0086
1331089720
141b9647c2
1511e8a820
hexb85db66

193321830 has 64 divisors (see below), whose sum is σ = 516922560. Its totient is φ = 45943296.

The previous prime is 193321823. The next prime is 193321861. The reversal of 193321830 is 38123391.

193321830 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764 + ... + 19856.

It is an arithmetic number, because the mean of its divisors is an integer number (8076915).

Almost surely, 2193321830 is an apocalyptic number.

193321830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193321830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258461280).

193321830 is an abundant number, since it is smaller than the sum of its proper divisors (323600730).

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

193321830 is a wasteful number, since it uses less digits than its factorization.

193321830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17145.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 193321830 is about 13904.0220799595. The cubic root of 193321830 is about 578.2206965228.

The spelling of 193321830 in words is "one hundred ninety-three million, three hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 11310 17093 34186 51279 85465 102558 170930 222209 256395 444418 495697 512790 666627 991394 1111045 1333254 1487091 2222090 2478485 2974182 3333135 4956970 6444061 6666270 7435455 12888122 14870910 19332183 32220305 38664366 64440610 96660915 193321830