Search a number
-
+
1226508288 = 2113892243
BaseRepresentation
bin100100100011011…
…0000100000000000
310011110220002001220
41021012300200000
510002441231123
6321412155040
742252101625
oct11106604000
93143802056
101226508288
1157a371915
122a2908a80
13167146065
14b8c7034c
1572a24ce3
hex491b0800

1226508288 has 96 divisors (see below), whose sum is σ = 3308104800. Its totient is φ = 404062208.

The previous prime is 1226508277. The next prime is 1226508289. The reversal of 1226508288 is 8828056221.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1226508289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545695 + ... + 547937.

It is an arithmetic number, because the mean of its divisors is an integer number (34459425).

Almost surely, 21226508288 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 1226508288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654052400).

1226508288 is an abundant number, since it is smaller than the sum of its proper divisors (2081596512).

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

1226508288 is an equidigital number, since it uses as much as digits as its factorization.

1226508288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 1226508288 is about 35021.5403430517. The cubic root of 1226508288 is about 1070.4264431164.

The spelling of 1226508288 in words is "one billion, two hundred twenty-six million, five hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1024 1068 1424 1536 2048 2136 2243 2848 3072 4272 4486 5696 6144 6729 8544 8972 11392 13458 17088 17944 22784 26916 34176 35888 45568 53832 68352 71776 91136 107664 136704 143552 182272 199627 215328 273408 287104 399254 430656 546816 574208 598881 798508 861312 1148416 1197762 1597016 1722624 2296832 2395524 3194032 3445248 4593664 4791048 6388064 6890496 9582096 12776128 13780992 19164192 25552256 38328384 51104512 76656768 102209024 153313536 204418048 306627072 408836096 613254144 1226508288