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22232325552 = 24317318310589
BaseRepresentation
bin10100101101001001…
…100101110110110000
32010101102001011012220
4110231021211312300
5331012433404202
614114031521040
71414636435443
oct245511456660
963342034186
1022232325552
119479628278
124385689180
132134016928
14110c97965a
158a1c20abc
hex52d265db0

22232325552 has 160 divisors (see below), whose sum is σ = 63535933440. Its totient is φ = 6667898880.

The previous prime is 22232325551. The next prime is 22232325559. The reversal of 22232325552 is 25552323222.

It is a super-2 number, since 2×222323255522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22232325551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2094274 + ... + 2104862.

It is an arithmetic number, because the mean of its divisors is an integer number (397099584).

Almost surely, 222232325552 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 22232325552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767966720).

22232325552 is an abundant number, since it is smaller than the sum of its proper divisors (41303607888).

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

22232325552 is a wasteful number, since it uses less digits than its factorization.

22232325552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10731 (or 10725 counting only the distinct ones).

The product of its digits is 72000, while the sum is 33.

Adding to 22232325552 its reverse (25552323222), we get a palindrome (47784648774).

The spelling of 22232325552 in words is "twenty-two billion, two hundred thirty-two million, three hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 83 93 102 124 136 166 186 204 248 249 272 332 372 408 496 498 527 664 744 816 996 1054 1328 1411 1488 1581 1992 2108 2573 2822 3162 3984 4216 4233 5146 5644 6324 7719 8432 8466 10292 10589 11288 12648 15438 16932 20584 21178 22576 25296 30876 31767 33864 41168 42356 43741 61752 63534 67728 84712 87482 123504 127068 131223 169424 174964 180013 254136 262446 328259 349928 360026 508272 524892 540039 656518 699856 720052 878887 984777 1049784 1080078 1313036 1440104 1757774 1969554 2099568 2160156 2626072 2636661 2880208 3515548 3939108 4320312 5252144 5273322 5580403 7031096 7878216 8640624 10546644 11160806 14062192 14941079 15756432 16741209 21093288 22321612 27245497 29882158 33482418 42186576 44643224 44823237 54490994 59764316 66964836 81736491 89286448 89646474 108981988 119528632 133929672 163472982 179292948 217963976 239057264 267859344 326945964 358585896 435927952 463173449 653891928 717171792 926346898 1307783856 1389520347 1852693796 2779040694 3705387592 5558081388 7410775184 11116162776 22232325552