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3662224956 = 22321323397857
BaseRepresentation
bin1101101001001001…
…0001111000111100
3100110020010022012100
43122102101320330
530000012144311
61403222105100
7156516253455
oct33222217074
910406108170
103662224956
11160a2598a5
1286257b190
13464958a20
1426a54a12c
151667a3a56
hexda491e3c

3662224956 has 144 divisors (see below), whose sum is σ = 10441214784. Its totient is φ = 1073875968.

The previous prime is 3662224921. The next prime is 3662224957. The reversal of 3662224956 is 6594222663.

3662224956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662224957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4272880 + ... + 4273736.

It is an arithmetic number, because the mean of its divisors is an integer number (72508436).

Almost surely, 23662224956 is an apocalyptic number.

3662224956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662224956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220607392).

3662224956 is an abundant number, since it is smaller than the sum of its proper divisors (6778989828).

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

3662224956 is a wasteful number, since it uses less digits than its factorization.

3662224956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1295 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3662224956 is about 60516.3197493040. The cubic root of 3662224956 is about 1541.3987623077.

The spelling of 3662224956 in words is "three billion, six hundred sixty-two million, two hundred twenty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 397 414 468 598 794 828 857 897 1191 1196 1588 1714 1794 2382 2571 2691 3428 3573 3588 4764 5142 5161 5382 7146 7713 9131 10284 10322 10764 11141 14292 15426 15483 18262 19711 20644 22282 27393 30852 30966 33423 36524 39422 44564 46449 54786 59133 61932 66846 78844 82179 92898 100269 109572 118266 118703 133692 164358 177399 185796 200538 236532 237406 256243 328716 340229 354798 356109 401076 474812 512486 680458 709596 712218 768729 1020687 1024972 1068327 1360916 1424436 1537458 2041374 2136654 2306187 3062061 3074916 4082748 4273308 4422977 4612374 6124122 7825267 8845954 9224748 12248244 13268931 15650534 17691908 23475801 26537862 31301068 39806793 46951602 53075724 70427403 79613586 93903204 101728471 140854806 159227172 203456942 281709612 305185413 406913884 610370826 915556239 1220741652 1831112478 3662224956