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244400232100 = 225213718319743
BaseRepresentation
bin1110001110011101100…
…0111001011010100100
3212100211200011011200011
43203213120321122210
513001012424411400
6304135333100004
723441315460553
oct3434730713244
9770750134604
10244400232100
11947166177a2
123b449187604
131a07bbb626b
14bb86c27d9a
1565563dd8ba
hex38e76396a4

244400232100 has 72 divisors (see below), whose sum is σ = 534566285568. Its totient is φ = 96983558400.

The previous prime is 244400232091. The next prime is 244400232103. The reversal of 244400232100 is 1232004442.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (244400232103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25079829 + ... + 25089571.

It is an arithmetic number, because the mean of its divisors is an integer number (7424531744).

Almost surely, 2244400232100 is an apocalyptic number.

244400232100 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 244400232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267283142784).

244400232100 is an abundant number, since it is smaller than the sum of its proper divisors (290166053468).

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

244400232100 is a wasteful number, since it uses less digits than its factorization.

244400232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 244400232100 its reverse (1232004442), we get a palindrome (245632236542).

The spelling of 244400232100 in words is "two hundred forty-four billion, four hundred million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 1831 2740 3425 3662 6850 7324 9155 9743 13700 18310 19486 36620 38972 45775 48715 91550 97430 183100 194860 243575 250847 487150 501694 974300 1003388 1254235 1334791 2508470 2669582 5016940 5339164 6271175 6673955 12542350 13347910 17839433 25084700 26695820 33369775 35678866 66739550 71357732 89197165 133479100 178394330 356788660 445985825 891971650 1783943300 2444002321 4888004642 9776009284 12220011605 24440023210 48880046420 61100058025 122200116050 244400232100