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423222510400 = 2652373709153
BaseRepresentation
bin1100010100010100000…
…01110000001101000000
31111110102002211010110121
412022022001300031000
523413224430313100
6522231543110024
742401563660654
oct6121201601500
91443362733417
10423222510400
1115354008a158
126a034442314
1330ba9836761
14166ac452a64
15b02050c51a
hex628a070340

423222510400 has 84 divisors (see below), whose sum is σ = 1044185297452. Its totient is φ = 168834908160.

The previous prime is 423222510391. The next prime is 423222510407. The reversal of 423222510400 is 4015222324.

It can be written as a sum of positive squares in 6 ways, for example, as 3256300096 + 419966210304 = 57064^2 + 648048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423222510407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242224 + ... + 951376.

Almost surely, 2423222510400 is an apocalyptic number.

423222510400 is a gapful number since it is divisible by the number (40) 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 423222510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522092648726).

423222510400 is an abundant number, since it is smaller than the sum of its proper divisors (620962787052).

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

423222510400 is a wasteful number, since it uses less digits than its factorization.

423222510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709548 (or 709533 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 423222510400 its reverse (4015222324), we get a palindrome (427237732724).

The spelling of 423222510400 in words is "four hundred twenty-three billion, two hundred twenty-two million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 373 400 746 800 1492 1600 1865 2984 3730 5968 7460 9325 11936 14920 18650 23872 29840 37300 59680 74600 119360 149200 298400 596800 709153 1418306 2836612 3545765 5673224 7091530 11346448 14183060 17728825 22692896 28366120 35457650 45385792 56732240 70915300 113464480 141830600 226928960 264514069 283661200 529028138 567322400 1058056276 1134644800 1322570345 2116112552 2645140690 4232225104 5290281380 6612851725 8464450208 10580562760 13225703450 16928900416 21161125520 26451406900 42322251040 52902813800 84644502080 105805627600 211611255200 423222510400