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244231400 = 23527434057
BaseRepresentation
bin11101000111010…
…10110011101000
3122000120020111102
432203222303220
51000010401100
640122420532
76023634620
oct1643526350
9560506442
10244231400
11115953736
1269961748
133b7a2b2a
1424617880
1516694cd5
hexe8eace8

244231400 has 96 divisors (see below), whose sum is σ = 664213440. Its totient is φ = 81768960.

The previous prime is 244231399. The next prime is 244231441. The reversal of 244231400 is 4132442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58172 + ... + 62228.

It is an arithmetic number, because the mean of its divisors is an integer number (6918890).

Almost surely, 2244231400 is an apocalyptic number.

244231400 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 244231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332106720).

244231400 is an abundant number, since it is smaller than the sum of its proper divisors (419982040).

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

244231400 is a wasteful number, since it uses less digits than its factorization.

244231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 244231400 is about 15627.9045300386. The cubic root of 244231400 is about 625.0774517349.

Adding to 244231400 its reverse (4132442), we get a palindrome (248363842).

The spelling of 244231400 in words is "two hundred forty-four million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 344 350 430 602 700 860 1075 1204 1400 1505 1720 2150 2408 3010 4057 4300 6020 7525 8114 8600 12040 15050 16228 20285 28399 30100 32456 40570 56798 60200 81140 101425 113596 141995 162280 174451 202850 227192 283990 348902 405700 567980 697804 709975 811400 872255 1135960 1221157 1395608 1419950 1744510 2442314 2839900 3489020 4361275 4884628 5679800 6105785 6978040 8722550 9769256 12211570 17445100 24423140 30528925 34890200 48846280 61057850 122115700 244231400