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2196780192 = 253210771287
BaseRepresentation
bin1000001011110000…
…0011010010100000
312200002121222220100
42002330003102200
513444333431232
61001552342400
7105303215655
oct20274032240
95602558810
102196780192
11a28030522
12513844a00
13290174c49
1416ba7dc2c
15cccd2c7c
hex82f034a0

2196780192 has 72 divisors (see below), whose sum is σ = 6305566176. Its totient is φ = 725406336.

The previous prime is 2196780181. The next prime is 2196780193. The reversal of 2196780192 is 2910876912.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×21967801923 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2196780193) 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 11 ways as a sum of consecutive naturals, for example, 4828 + ... + 66459.

It is an arithmetic number, because the mean of its divisors is an integer number (87577308).

Almost surely, 22196780192 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 2196780192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152783088).

2196780192 is an abundant number, since it is smaller than the sum of its proper divisors (4108785984).

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

2196780192 is a wasteful number, since it uses less digits than its factorization.

2196780192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71410 (or 71399 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2196780192 is about 46869.8217619824. The cubic root of 2196780192 is about 1299.9566439189.

The spelling of 2196780192 in words is "two billion, one hundred ninety-six million, seven hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 30816 71287 142574 213861 285148 427722 570296 641583 855444 1140592 1283166 1710888 2281184 2566332 3421776 5132664 6843552 7627709 10265328 15255418 20530656 22883127 30510836 45766254 61021672 68649381 91532508 122043344 137298762 183065016 244086688 274597524 366130032 549195048 732260064 1098390096 2196780192