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1226971928 = 237136312671
BaseRepresentation
bin100100100100010…
…0001101100011000
310011111202122001202
41021020201230120
510003101100203
6321430133332
742256042430
oct11110415430
93144678052
101226971928
1157a659196
122a2ab1248
131672790c0
14b8d512c0
1572ab7388
hex49221b18

1226971928 has 64 divisors (see below), whose sum is σ = 2837022720. Its totient is φ = 484444800.

The previous prime is 1226971913. The next prime is 1226971931. The reversal of 1226971928 is 8291796221.

It is a super-2 number, since 2×12269719282 = 3010920224200074368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458033 + ... + 460703.

It is an arithmetic number, because the mean of its divisors is an integer number (44328480).

Almost surely, 21226971928 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 1226971928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418511360).

1226971928 is an abundant number, since it is smaller than the sum of its proper divisors (1610050792).

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

1226971928 is a wasteful number, since it uses less digits than its factorization.

1226971928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3324 counting only the distinct ones).

The product of its digits is 217728, while the sum is 47.

The square root of 1226971928 is about 35028.1590723806. The cubic root of 1226971928 is about 1070.5613056359.

The spelling of 1226971928 in words is "one billion, two hundred twenty-six million, nine hundred seventy-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 631 728 1262 2524 2671 4417 5048 5342 8203 8834 10684 16406 17668 18697 21368 32812 34723 35336 37394 57421 65624 69446 74788 114842 138892 149576 229684 243061 277784 459368 486122 972244 1685401 1944488 3370802 6741604 11797807 13483208 21910213 23595614 43820426 47191228 87640852 94382456 153371491 175281704 306742982 613485964 1226971928