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214020032232020 = 22573760076878077
BaseRepresentation
bin110000101010011001101011…
…111111101111101001010100
31001001210010010000201211121012
4300222121223333233221110
5211023001011222411040
62035103240120511352
763036302625105110
oct6052315377575124
91031703100654535
10214020032232020
1162214427782393
122000662391b558
139256005494651
143abc8a6768740
1519b2243973865
hexc2a66bfefa54

214020032232020 has 96 divisors (see below), whose sum is σ = 527618353823232. Its totient is φ = 71383203859968.

The previous prime is 214020032231891. The next prime is 214020032232023. The reversal of 214020032232020 is 20232230020412.

It is a super-2 number, since 2×2140200322320202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214020032232023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27677222 + ... + 34555298.

It is an arithmetic number, because the mean of its divisors is an integer number (5496024518992).

Almost surely, 2214020032232020 is an apocalyptic number.

214020032232020 is a gapful number since it is divisible by the number (20) 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 214020032232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263809176911616).

214020032232020 is an abundant number, since it is smaller than the sum of its proper divisors (313598321591212).

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

214020032232020 is a wasteful number, since it uses less digits than its factorization.

214020032232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884137 (or 6884135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 214020032232020 its reverse (20232230020412), we get a palindrome (234252262252432).

The spelling of 214020032232020 in words is "two hundred fourteen trillion, twenty billion, thirty-two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 6007 12014 24028 30035 42049 60070 84098 120140 168196 210245 222259 420490 444518 840980 889036 1111295 1555813 2222590 3111626 4445180 6223252 6878077 7779065 13756154 15558130 27512308 31116260 34390385 48146539 68780770 96293078 137561540 192586156 240732695 254488849 481465390 508977698 962930780 1017955396 1272444245 1781421943 2544888490 3562843886 5089776980 7125687772 8907109715 17814219430 35628438860 41316608539 82633217078 165266434156 206583042695 289216259773 413166085390 578432519546 826332170780 1156865039092 1446081298865 1528714515943 2892162597730 3057429031886 5784325195460 6114858063772 7643572579715 10701001611601 15287145159430 21402003223202 30574290318860 42804006446404 53505008058005 107010016116010 214020032232020