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193164940 = 22529418123
BaseRepresentation
bin10111000001101…
…11011010001100
3111110110210111001
423200313122030
5343422234230
631100110044
74533606043
oct1340673214
9443423431
10193164940
119a044751
1254835324
13310331a7
141b92355a
1511e590ca
hexb83768c

193164940 has 48 divisors (see below), whose sum is σ = 429922080. Its totient is φ = 72773120.

The previous prime is 193164929. The next prime is 193164949. The reversal of 193164940 is 49461391.

193164940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 193164940.

It is not an unprimeable number, because it can be changed into a prime (193164949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19719 + ... + 27841.

It is an arithmetic number, because the mean of its divisors is an integer number (8956710).

Almost surely, 2193164940 is an apocalyptic number.

193164940 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 193164940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214961040).

193164940 is an abundant number, since it is smaller than the sum of its proper divisors (236757140).

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

193164940 is a wasteful number, since it uses less digits than its factorization.

193164940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 193164940 is about 13898.3790421761. The cubic root of 193164940 is about 578.0642361849.

The spelling of 193164940 in words is "one hundred ninety-three million, one hundred sixty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 2378 4756 5945 8123 11890 16246 23780 32492 40615 81230 162460 235567 333043 471134 666086 942268 1177835 1332172 1665215 2355670 3330430 4711340 6660860 9658247 19316494 38632988 48291235 96582470 193164940