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244223431000 = 23531313794919
BaseRepresentation
bin1110001101110011011…
…0011101000101011000
3212100101100110202011021
43203130312131011120
513000132144243000
6304110015412224
723434040624503
oct3433466350530
9770340422137
10244223431000
119463583a48a
123b3b9b24074
131a051392423
14bb6b56413a
156545b1811a
hex38dcd9d158

244223431000 has 128 divisors (see below), whose sum is σ = 577482048000. Its totient is φ = 96668208000.

The previous prime is 244223430959. The next prime is 244223431003. The reversal of 244223431000 is 134322442.

It is a happy number.

It is a super-2 number, since 2×2442234310002 (a number of 24 digits) contains 22 as substring.

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 (244223431003) 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, 49646541 + ... + 49651459.

It is an arithmetic number, because the mean of its divisors is an integer number (4511578500).

Almost surely, 2244223431000 is an apocalyptic number.

244223431000 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 244223431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288741024000).

244223431000 is an abundant number, since it is smaller than the sum of its proper divisors (333258617000).

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

244223431000 is a wasteful number, since it uses less digits than its factorization.

244223431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 244223431000 its reverse (134322442), we get a palindrome (244357753442).

The spelling of 244223431000 in words is "two hundred forty-four billion, two hundred twenty-three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 379 500 524 655 758 1000 1048 1310 1516 1895 2620 3032 3275 3790 4919 5240 6550 7580 9475 9838 13100 15160 16375 18950 19676 24595 26200 32750 37900 39352 47375 49190 49649 65500 75800 94750 98380 99298 122975 131000 189500 196760 198596 245950 248245 379000 397192 491900 496490 614875 644389 983800 992980 1229750 1241225 1288778 1864301 1985960 2459500 2482450 2577556 3221945 3728602 4919000 4964900 5155112 6206125 6443890 7457204 9321505 9929800 12412250 12887780 14914408 16109725 18643010 24824500 25775560 32219450 37286020 46607525 49649000 64438900 74572040 80548625 93215050 128877800 161097250 186430100 233037625 244223431 322194500 372860200 466075250 488446862 644389000 932150500 976893724 1221117155 1864301000 1953787448 2442234310 4884468620 6105585775 9768937240 12211171550 24422343100 30527928875 48844686200 61055857750 122111715500 244223431000