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11230225152 = 283151179541
BaseRepresentation
bin10100111010101111…
…11010001100000000
31001222122122112202220
422131113322030000
5140444414201102
65054210411040
7545203224126
oct123527721400
931878575686
1011230225152
114843195413
122214b90a80
13109c835253
147876bd916
1545adb91bc
hex29d5fa300

11230225152 has 144 divisors (see below), whose sum is σ = 30310721280. Its totient is φ = 3691008000.

The previous prime is 11230225151. The next prime is 11230225169. The reversal of 11230225152 is 25152203211.

It is a super-2 number, since 2×112302251522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11230225151) 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, 20758002 + ... + 20758542.

It is an arithmetic number, because the mean of its divisors is an integer number (210491120).

Almost surely, 211230225152 is an apocalyptic number.

11230225152 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 11230225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155360640).

11230225152 is an abundant number, since it is smaller than the sum of its proper divisors (19080496128).

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

11230225152 is a wasteful number, since it uses less digits than its factorization.

11230225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11230225152 its reverse (25152203211), we get a palindrome (36382428363).

The spelling of 11230225152 in words is "eleven billion, two hundred thirty million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 179 192 256 302 358 384 453 537 541 604 716 768 906 1074 1082 1208 1432 1623 1812 2148 2164 2416 2864 3246 3624 4296 4328 4832 5728 6492 7248 8592 8656 9664 11456 12984 14496 17184 17312 19328 22912 25968 27029 28992 34368 34624 38656 45824 51936 54058 57984 68736 69248 81087 81691 96839 103872 108116 115968 137472 138496 162174 163382 193678 207744 216232 245073 290517 324348 326764 387356 415488 432464 490146 581034 648696 653528 774712 864928 980292 1162068 1297392 1307056 1549424 1729856 1960584 2324136 2594784 2614112 3098848 3459712 3921168 4648272 5189568 5228224 6197696 6919424 7842336 9296544 10379136 10456448 12395392 14622689 15684672 18593088 20758272 20912896 24790784 29245378 31369344 37186176 43868067 58490756 62738688 74372352 87736134 116981512 175472268 233963024 350944536 467926048 701889072 935852096 1403778144 1871704192 2807556288 3743408384 5615112576 11230225152