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244146700 = 225273111251
BaseRepresentation
bin11101000110101…
…10001000001100
3122000101221022101
432203112020030
51000000143300
640120524444
76023132650
oct1643261014
9560357271
10244146700
111158a6036
1269920724
133b773405
14245d4a60
1516679b6a
hexe8d620c

244146700 has 72 divisors (see below), whose sum is σ = 625071104. Its totient is φ = 81000000.

The previous prime is 244146697. The next prime is 244146701. The reversal of 244146700 is 7641442.

244146700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2441467002 = 119215222241780000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (244146701) 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, 16075 + ... + 27325.

Almost surely, 2244146700 is an apocalyptic number.

244146700 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 244146700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312535552).

244146700 is an abundant number, since it is smaller than the sum of its proper divisors (380924404).

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

244146700 is a wasteful number, since it uses less digits than its factorization.

244146700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 244146700 is about 15625.1943987907. The cubic root of 244146700 is about 625.0051839570.

It can be divided in two parts, 2441 and 46700, that added together give a triangular number (49141 = T313).

The spelling of 244146700 in words is "two hundred forty-four million, one hundred forty-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 10850 11251 21700 22502 45004 56255 78757 112510 157514 225020 281275 315028 348781 393785 562550 697562 787570 1125100 1395124 1575140 1743905 1968925 2441467 3487810 3937850 4882934 6975620 7875700 8719525 9765868 12207335 17439050 24414670 34878100 48829340 61036675 122073350 244146700