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2223141442032 = 243753409305231
BaseRepresentation
bin100000010110011101100…
…011100101000111110000
321212112022112211121001010
4200112131203211013300
5242410443202121112
64421144100310520
7316421342316060
oct40263543450760
97775275747033
102223141442032
11787913428995
122baa396a2440
131318450361c4
147985a15b3a0
153cc67da063c
hex2059d8e51f0

2223141442032 has 160 divisors (see below), whose sum is σ = 6703773788160. Its totient is φ = 621672929280.

The previous prime is 2223141442013. The next prime is 2223141442063. The reversal of 2223141442032 is 2302441413222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7130857 + ... + 7436087.

It is an arithmetic number, because the mean of its divisors is an integer number (41898586176).

Almost surely, 22223141442032 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 2223141442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351886894080).

2223141442032 is an abundant number, since it is smaller than the sum of its proper divisors (4480632346128).

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

2223141442032 is a wasteful number, since it uses less digits than its factorization.

2223141442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305711 (or 305705 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2223141442032 its reverse (2302441413222), we get a palindrome (4525582855254).

The spelling of 2223141442032 in words is "two trillion, two hundred twenty-three billion, one hundred forty-one million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 409 424 636 742 818 848 1113 1227 1272 1484 1636 2226 2454 2544 2863 2968 3272 4452 4908 5726 5936 6544 8589 8904 9816 11452 17178 17808 19632 21677 22904 34356 43354 45808 65031 68712 86708 130062 137424 151739 173416 260124 303478 305231 346832 455217 520248 606956 610462 910434 915693 1040496 1213912 1220924 1820868 1831386 2136617 2427824 2441848 3641736 3662772 4273234 4883696 6409851 7283472 7325544 8546468 12819702 14651088 16177243 17092936 25639404 32354486 34185872 48531729 51278808 64708972 97063458 102557616 113240701 124839479 129417944 194126916 226481402 249678958 258835888 339722103 374518437 388253832 452962804 499357916 679444206 749036874 776507664 873876353 905925608 998715832 1358888412 1498073748 1747752706 1811851216 1997431664 2621629059 2717776824 2996147496 3495505412 5243258118 5435553648 5992294992 6616492387 6991010824 10486516236 13232984774 13982021648 19849477161 20973032472 26465969548 39698954322 41946064944 46315446709 52931939096 79397908644 92630893418 105863878192 138946340127 158795817288 185261786836 277892680254 317591634576 370523573672 555785360508 741047147344 1111570721016 2223141442032