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4228612704 = 253217384871
BaseRepresentation
bin1111110000001011…
…1000001001100000
3101220200212210010100
43330002320021200
532130011101304
61535333502400
7206534420631
oct37402701140
911820783110
104228612704
11187aa3a348
129a01a1a00
135250b63c4
142c1863888
1519b382439
hexfc0b8260

4228612704 has 72 divisors (see below), whose sum is σ = 12094769232. Its totient is φ = 1401373440.

The previous prime is 4228612631. The next prime is 4228612709. The reversal of 4228612704 is 4072168224.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228612709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7389 + ... + 92259.

It is an arithmetic number, because the mean of its divisors is an integer number (167982906).

Almost surely, 24228612704 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 4228612704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047384616).

4228612704 is an abundant number, since it is smaller than the sum of its proper divisors (7866156528).

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

4228612704 is a wasteful number, since it uses less digits than its factorization.

4228612704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85060 (or 85049 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4228612704 is about 65027.7840926477. The cubic root of 4228612704 is about 1617.0842109837.

The spelling of 4228612704 in words is "four billion, two hundred twenty-eight million, six hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 24912 49824 84871 169742 254613 339484 509226 678968 763839 1018452 1357936 1527678 2036904 2715872 3055356 4073808 6110712 8147616 12221424 14682683 24442848 29365366 44048049 58730732 88096098 117461464 132144147 176192196 234922928 264288294 352384392 469845856 528576588 704768784 1057153176 1409537568 2114306352 4228612704