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1328226192 = 243224138273
BaseRepresentation
bin100111100101011…
…0001111110010000
310102120021212210200
41033022301332100
510210011214232
6335444255200
744625510366
oct11712617620
93376255720
101328226192
11621826aa7
123109a1500
1318223b777
14c858b636
157b91877c
hex4f2b1f90

1328226192 has 60 divisors (see below), whose sum is σ = 3732710124. Its totient is φ = 440893440.

The previous prime is 1328226191. The next prime is 1328226197. The reversal of 1328226192 is 2916228231.

It is a happy number.

1328226192 is a `hidden beast` number, since 1 + 32 + 8 + 2 + 2 + 619 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1102505616 + 225720576 = 33204^2 + 15024^2 .

It is a super-2 number, since 2×13282261922 = 3528369634229641728, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1328226191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15568 + ... + 53840.

Almost surely, 21328226192 is an apocalyptic number.

1328226192 is a gapful number since it is divisible by the number (12) 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 1328226192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866355062).

1328226192 is an abundant number, since it is smaller than the sum of its proper divisors (2404483932).

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

1328226192 is a wasteful number, since it uses less digits than its factorization.

1328226192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38528 (or 38519 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1328226192 is about 36444.8376591253. The cubic root of 1328226192 is about 1099.2353341298.

The spelling of 1328226192 in words is "one billion, three hundred twenty-eight million, two hundred twenty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 241 482 723 964 1446 1928 2169 2892 3856 4338 5784 8676 11568 17352 34704 38273 76546 114819 153092 229638 306184 344457 459276 612368 688914 918552 1377828 1837104 2755656 5511312 9223793 18447586 27671379 36895172 55342758 73790344 83014137 110685516 147580688 166028274 221371032 332056548 442742064 664113096 1328226192