Search a number
-
+
2232189696 = 283111312017
BaseRepresentation
bin1000010100001100…
…1000001100000000
312202120020222121110
42011003020030000
514032420032241
61005255323320
7106213204452
oct20503101400
95676228543
102232189696
11a46016180
12523680540
132975c2209
1417265a2d2
15d0e79816
hex850c8300

2232189696 has 144 divisors (see below), whose sum is σ = 6533670528. Its totient is φ = 670924800.

The previous prime is 2232189677. The next prime is 2232189697. The reversal of 2232189696 is 6969812322.

It is a happy number.

It is a super-3 number, since 3×22321896963 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2232189697) 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, 1105680 + ... + 1107696.

It is an arithmetic number, because the mean of its divisors is an integer number (45372712).

Almost surely, 22232189696 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 2232189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266835264).

2232189696 is an abundant number, since it is smaller than the sum of its proper divisors (4301480832).

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

2232189696 is a wasteful number, since it uses less digits than its factorization.

2232189696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2164 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 2232189696 is about 47246.0548194238. The cubic root of 2232189696 is about 1306.9040375834.

The spelling of 2232189696 in words is "two billion, two hundred thirty-two million, one hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 256 262 264 352 384 393 524 528 704 768 786 1048 1056 1408 1441 1572 2017 2096 2112 2816 2882 3144 4034 4192 4224 4323 5764 6051 6288 8068 8384 8448 8646 11528 12102 12576 16136 16768 17292 22187 23056 24204 25152 32272 33536 34584 44374 46112 48408 50304 64544 66561 69168 88748 92224 96816 100608 129088 133122 138336 177496 184448 193632 258176 264227 266244 276672 354992 368896 387264 516352 528454 532488 553344 709984 774528 792681 1056908 1064976 1106688 1419968 1549056 1585362 2113816 2129952 2839936 2906497 3170724 4227632 4259904 5679872 5812994 6341448 8455264 8519808 8719491 11625988 12682896 16910528 17039616 17438982 23251976 25365792 33821056 34877964 46503952 50731584 67642112 69755928 93007904 101463168 139511856 186015808 202926336 279023712 372031616 558047424 744063232 1116094848 2232189696