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22132202031424 = 2619257253927893
BaseRepresentation
bin1010000100001000011100…
…00010100100100101000000
32220100211002012202101111001
411002010032002210211000
510400103222210001144
6115023220535301344
74442666412164002
oct502041602444500
986324065671431
1022132202031424
11706323a074831
12259545181a854
13c470999b2ab4
145672c0822372
15285a99195bd4
hex14210e0a4940

22132202031424 has 112 divisors (see below), whose sum is σ = 46429920043200. Its totient is φ = 10438394904576.

The previous prime is 22132202031421. The next prime is 22132202031437. The reversal of 22132202031424 is 42413020223122.

It is a super-3 number, since 3×221322020314243 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22132202031392 and 22132202031401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132202031421) 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 15 ways as a sum of consecutive naturals, for example, 793454022 + ... + 793481914.

Almost surely, 222132202031424 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 22132202031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214960021600).

22132202031424 is an abundant number, since it is smaller than the sum of its proper divisors (24297718011776).

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

22132202031424 is a wasteful number, since it uses less digits than its factorization.

22132202031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30720 (or 30710 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22132202031424 its reverse (42413020223122), we get a palindrome (64545222254546).

The spelling of 22132202031424 in words is "twenty-two trillion, one hundred thirty-two billion, two hundred two million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 257 304 514 608 1028 1216 2056 2539 4112 4883 5078 8224 9766 10156 16448 19532 20312 27893 39064 40624 48241 55786 78128 81248 96482 111572 156256 162496 192964 223144 312512 385928 446288 529967 652523 771856 892576 1059934 1305046 1543712 1785152 2119868 2610092 3087424 4239736 5220184 7168501 8479472 10440368 12397937 14337002 16958944 20880736 24795874 28674004 33917888 41761472 49591748 57348008 70820327 99183496 114696016 136201519 141640654 198366992 229392032 272403038 283281308 396733984 458784064 544806076 566562616 793467968 1089612152 1133125232 1345586213 2179224304 2266250464 2691172426 4358448608 4532500928 5382344852 8716897216 10764689704 18200824039 21529379408 36401648078 43058758816 72803296156 86117517632 145606592312 291213184624 345815656741 582426369248 691631313482 1164852738496 1383262626964 2766525253928 5533050507856 11066101015712 22132202031424