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214822962672 = 243292393132063
BaseRepresentation
bin1100100000010001110…
…0100100010111110000
3202112111101022012121220
43020010130210113300
512004424134301142
6242404401345040
721343341024423
oct3100434442760
9675441265556
10214822962672
1183118a6447a
1235773938180
13173472909c6
14a57c9bd9ba
1558c49682ec
hex32047245f0

214822962672 has 160 divisors (see below), whose sum is σ = 578620108800. Its totient is φ = 68595910656.

The previous prime is 214822962647. The next prime is 214822962713. The reversal of 214822962672 is 276269228412.

It is a super-2 number, since 2×2148229626722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104130313 + ... + 104132375.

It is an arithmetic number, because the mean of its divisors is an integer number (3616375680).

Almost surely, 2214822962672 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 214822962672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289310054400).

214822962672 is an abundant number, since it is smaller than the sum of its proper divisors (363797146128).

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

214822962672 is a wasteful number, since it uses less digits than its factorization.

214822962672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2649 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 214822962672 in words is "two hundred fourteen billion, eight hundred twenty-two million, nine hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 239 313 348 464 478 626 696 717 939 956 1252 1392 1434 1878 1912 2063 2504 2868 3756 3824 4126 5008 5736 6189 6931 7512 8252 9077 11472 12378 13862 15024 16504 18154 20793 24756 27231 27724 33008 36308 41586 49512 54462 55448 59827 72616 74807 83172 99024 108924 110896 119654 145232 149614 166344 179481 217848 224421 239308 299228 332688 358962 435696 448842 478616 493057 598456 645719 717924 897684 957232 986114 1196912 1291438 1435848 1479171 1795368 1937157 1972228 2169403 2582876 2871696 2958342 3590736 3874314 3944456 4338806 5165752 5916684 6508209 7748628 7888912 8677612 10331504 11833368 13016418 14298653 15497256 17355224 18725851 23666736 26032836 28597306 30994512 34710448 37451702 42895959 52065672 56177553 57194612 74903404 85791918 104131344 112355106 114389224 149806808 154326841 171583836 224710212 228778448 299613616 308653682 343167672 449420424 462980523 617307364 686335344 898840848 925961046 1234614728 1851922092 2469229456 3703844184 4475478389 7407688368 8950956778 13426435167 17901913556 26852870334 35803827112 53705740668 71607654224 107411481336 214822962672