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244101700 = 225229412053
BaseRepresentation
bin11101000110010…
…11001001000100
3122000022122120201
432203023021010
5444442223300
640115540244
76022554523
oct1643131104
9560278521
10244101700
11115875247
12698ba684
133b758a9b
14245c24ba
151666b66a
hexe8cb244

244101700 has 72 divisors (see below), whose sum is σ = 561604680. Its totient is φ = 91929600.

The previous prime is 244101679. The next prime is 244101709. The reversal of 244101700 is 7101442.

It can be written as a sum of positive squares in 12 ways, for example, as 124724224 + 119377476 = 11168^2 + 10926^2 .

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (244101709) 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, 117874 + ... + 119926.

It is an arithmetic number, because the mean of its divisors is an integer number (7800065).

Almost surely, 2244101700 is an apocalyptic number.

244101700 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 244101700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280802340).

244101700 is an abundant number, since it is smaller than the sum of its proper divisors (317502980).

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

244101700 is a wasteful number, since it uses less digits than its factorization.

244101700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 244101700 is about 15623.7543503474. The cubic root of 244101700 is about 624.9667822346.

The spelling of 244101700 in words is "two hundred forty-four million, one hundred one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1189 1450 2050 2053 2378 2900 4100 4106 4756 5945 8212 10265 11890 20530 23780 29725 41060 51325 59450 59537 84173 102650 118900 119074 168346 205300 238148 297685 336692 420865 595370 841730 1190740 1488425 1683460 2104325 2441017 2976850 4208650 4882034 5953700 8417300 9764068 12205085 24410170 48820340 61025425 122050850 244101700