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1229114208 = 25378920551
BaseRepresentation
bin100100101000010…
…1100101101100000
310011122210110201110
41021100230231200
510004123123313
6321544103320
742313204230
oct11120545540
93148713643
101229114208
11580891773
122a3764b40
1316784921a
14b934bcc0
1572d8bec3
hex4942cb60

1229114208 has 96 divisors (see below), whose sum is σ = 3728954880. Its totient is φ = 347212800.

The previous prime is 1229114207. The next prime is 1229114281. The reversal of 1229114208 is 8024119221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1229114203) 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, 49533 + ... + 70083.

It is an arithmetic number, because the mean of its divisors is an integer number (38843280).

Almost surely, 21229114208 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 1229114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864477440).

1229114208 is an abundant number, since it is smaller than the sum of its proper divisors (2499840672).

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

1229114208 is a wasteful number, since it uses less digits than its factorization.

1229114208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20660 (or 20652 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1229114208 is about 35058.7251336953. The cubic root of 1229114208 is about 1071.1840062698.

The spelling of 1229114208 in words is "one billion, two hundred twenty-nine million, one hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9968 14952 19936 20551 29904 41102 59808 61653 82204 123306 143857 164408 246612 287714 328816 431571 493224 575428 657632 863142 986448 1150856 1726284 1829039 1972896 2301712 3452568 3658078 4603424 5487117 6905136 7316156 10974234 12803273 13810272 14632312 21948468 25606546 29264624 38409819 43896936 51213092 58529248 76819638 87793872 102426184 153639276 175587744 204852368 307278552 409704736 614557104 1229114208