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193216940 = 22571638467
BaseRepresentation
bin10111000010001…
…00000110101100
3111110120102210222
423201010012230
5343430420230
631101150512
74534213460
oct1341040654
9443512728
10193216940
119a07a824
125485b438
1331050a67
141b9384a0
1511e696e5
hexb8441ac

193216940 has 48 divisors (see below), whose sum is σ = 466620672. Its totient is φ = 65831616.

The previous prime is 193216913. The next prime is 193216943. The reversal of 193216940 is 49612391.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 193216940.

It is not an unprimeable number, because it can be changed into a prime (193216943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18587 + ... + 27053.

It is an arithmetic number, because the mean of its divisors is an integer number (9721264).

Almost surely, 2193216940 is an apocalyptic number.

193216940 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 193216940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233310336).

193216940 is an abundant number, since it is smaller than the sum of its proper divisors (273403732).

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

193216940 is a wasteful number, since it uses less digits than its factorization.

193216940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 193216940 is about 13900.2496380461. The cubic root of 193216940 is about 578.1161031599.

The spelling of 193216940 in words is "one hundred ninety-three million, two hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5705 8467 11410 16934 22820 33868 42335 59269 84670 118538 169340 237076 296345 592690 1185380 1380121 2760242 5520484 6900605 9660847 13801210 19321694 27602420 38643388 48304235 96608470 193216940