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4422965316 = 2237114919749
BaseRepresentation
bin1000001111010000…
…10001100001000100
3102102020120220210020
410013220101201010
533024234342231
62010515255140
7214414404420
oct40750214104
912366526706
104422965316
11196a715340
12a352aa4b0
13556444053
142dd5b5b80
151ad473396
hex107a11844

4422965316 has 96 divisors (see below), whose sum is σ = 12894336000. Its totient is φ = 1146364800.

The previous prime is 4422965291. The next prime is 4422965317. The reversal of 4422965316 is 6135692244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4422965317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 448810 + ... + 458558.

It is an arithmetic number, because the mean of its divisors is an integer number (134316000).

Almost surely, 24422965316 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 4422965316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447168000).

4422965316 is an abundant number, since it is smaller than the sum of its proper divisors (8471370684).

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

4422965316 is a wasteful number, since it uses less digits than its factorization.

4422965316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10265 (or 10263 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 4422965316 is about 66505.3780983162. The cubic root of 4422965316 is about 1641.4885003701.

The spelling of 4422965316 in words is "four billion, four hundred twenty-two million, nine hundred sixty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 491 924 982 1473 1964 2946 3437 5401 5892 6874 9749 10311 10802 13748 16203 19498 20622 21604 29247 32406 37807 38996 41244 58494 64812 68243 75614 107239 113421 116988 136486 151228 204729 214478 226842 272972 321717 409458 428956 453684 643434 750673 818916 1286868 1501346 2252019 3002692 4504038 4786759 9008076 9573518 14360277 19147036 28720554 33507313 52654349 57441108 67014626 100521939 105308698 134029252 157963047 201043878 210617396 315926094 368580443 402087756 631852188 737160886 1105741329 1474321772 2211482658 4422965316