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244680100 = 225271918397
BaseRepresentation
bin11101001010110…
…00010110100100
3122001102000222221
432211120112210
51000114230400
640140202124
76030514030
oct1645302644
9561360887
10244680100
1111612a865
1269b39344
133b8cc132
14246d31c0
1516732c1a
hexe9585a4

244680100 has 72 divisors (see below), whose sum is σ = 638778560. Its totient is φ = 79470720.

The previous prime is 244680083. The next prime is 244680101. The reversal of 244680100 is 1086442.

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

It is not an unprimeable number, because it can be changed into a prime (244680101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4102 + ... + 22498.

Almost surely, 2244680100 is an apocalyptic number.

244680100 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 244680100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319389280).

244680100 is an abundant number, since it is smaller than the sum of its proper divisors (394098460).

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

244680100 is a wasteful number, since it uses less digits than its factorization.

244680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18437 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 244680100 is about 15642.2536739435. The cubic root of 244680100 is about 625.4600133373.

The spelling of 244680100 in words is "two hundred forty-four million, six hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 18397 36794 73588 91985 128779 183970 257558 349543 367940 459925 515116 643895 699086 919850 1287790 1398172 1747715 1839700 2446801 2575580 3219475 3495430 4893602 6438950 6990860 8738575 9787204 12234005 12877900 17477150 24468010 34954300 48936020 61170025 122340050 244680100