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430132232020 = 225376726932251
BaseRepresentation
bin1100100001001011110…
…00001111111101010100
31112010020122200100121011
412100211320033331110
524021402322411040
6525333334302004
743035035434651
oct6204570177524
91463218610534
10430132232020
11156466482297
126b4424b7904
133173b220b2a
1416b65dccc28
15b2c6e423ea
hex6425e0ff54

430132232020 has 96 divisors (see below), whose sum is σ = 945066165120. Its totient is φ = 164286144000.

The previous prime is 430132232011. The next prime is 430132232053. The reversal of 430132232020 is 20232231034.

It is a super-2 number, since 2×4301322320202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430132231982 and 430132232000.

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, 13320895 + ... + 13353145.

It is an arithmetic number, because the mean of its divisors is an integer number (9844439220).

Almost surely, 2430132232020 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 430132232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472533082560).

430132232020 is an abundant number, since it is smaller than the sum of its proper divisors (514933933100).

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

430132232020 is a wasteful number, since it uses less digits than its factorization.

430132232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32633 (or 32631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 430132232020 its reverse (20232231034), we get a palindrome (450364463054).

The spelling of 430132232020 in words is "four hundred thirty billion, one hundred thirty-two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 67 74 134 148 185 268 269 335 370 538 670 740 1076 1340 1345 2479 2690 4958 5380 9916 9953 12395 18023 19906 24790 32251 36046 39812 49580 49765 64502 72092 90115 99530 129004 161255 180230 199060 322510 360460 645020 666851 1193287 1333702 2160817 2386574 2667404 3334255 4321634 4773148 5966435 6668510 8643268 8675519 10804085 11932870 13337020 17351038 21608170 23865740 34702076 43216340 43377595 79950229 86755190 159900458 173510380 319800916 320994203 399751145 581259773 641988406 799502290 1162519546 1283976812 1599004580 1604971015 2325039092 2906298865 3209942030 5812597730 6419884060 11625195460 21506611601 43013223202 86026446404 107533058005 215066116010 430132232020