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1228147264 = 26971811093
BaseRepresentation
bin100100100110100…
…0000101001000000
310011120222100022201
41021031000221000
510003401203024
6321511242544
742302036161
oct11115005100
93146870281
101228147264
11580291243
122a3379454
1316759b076
14b9179768
1572c4a744
hex49340a40

1228147264 has 56 divisors (see below), whose sum is σ = 2478098168. Its totient is φ = 603832320.

The previous prime is 1228147259. The next prime is 1228147273. The reversal of 1228147264 is 4627418221.

It can be written as a sum of positive squares in 4 ways, for example, as 151782400 + 1076364864 = 12320^2 + 32808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123102 + ... + 1124194.

It is an arithmetic number, because the mean of its divisors is an integer number (44251753).

Almost surely, 21228147264 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 1228147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239049084).

1228147264 is an abundant number, since it is smaller than the sum of its proper divisors (1249950904).

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

1228147264 is a wasteful number, since it uses less digits than its factorization.

1228147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 1228147264 is about 35044.9320729831. The cubic root of 1228147264 is about 1070.9030324664.

The spelling of 1228147264 in words is "one billion, two hundred twenty-eight million, one hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 181 194 362 388 724 776 1093 1448 1552 2186 2896 3104 4372 5792 6208 8744 11584 17488 17557 34976 35114 69952 70228 106021 140456 197833 212042 280912 395666 424084 561824 791332 848168 1123648 1582664 1696336 3165328 3392672 6330656 6785344 12661312 19189801 38379602 76759204 153518408 307036816 614073632 1228147264