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2239255488 = 263193119801
BaseRepresentation
bin1000010101111000…
…0101001111000000
312210001112222001110
42011132011033000
514041222133423
61010111003320
7106330233441
oct20536051700
95701488043
102239255488
11a4a001878
12525b09540
13298bc7362
141735792c8
15d18c3193
hex857853c0

2239255488 has 112 divisors (see below), whose sum is σ = 6438026240. Its totient is φ = 684288000.

The previous prime is 2239255481. The next prime is 2239255489. The reversal of 2239255488 is 8845529322.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2239255481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103188 + ... + 122988.

Almost surely, 22239255488 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 2239255488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219013120).

2239255488 is an abundant number, since it is smaller than the sum of its proper divisors (4198770752).

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

2239255488 is a wasteful number, since it uses less digits than its factorization.

2239255488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19866 (or 19856 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 2239255488 is about 47320.7722675782. The cubic root of 2239255488 is about 1308.2815468145.

The spelling of 2239255488 in words is "two billion, two hundred thirty-nine million, two hundred fifty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2976 3534 3648 4712 5952 7068 9424 14136 18848 19801 28272 37696 39602 56544 59403 79204 113088 118806 158408 237612 316816 376219 475224 613831 633632 752438 950448 1128657 1227662 1267264 1504876 1841493 1900896 2257314 2455324 3009752 3682986 3801792 4514628 4910648 6019504 7365972 9029256 9821296 11662789 12039008 14731944 18058512 19642592 23325578 24078016 29463888 34988367 36117024 39285184 46651156 58927776 69976734 72234048 93302312 117855552 139953468 186604624 279906936 373209248 559813872 746418496 1119627744 2239255488