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244121600 = 21652149
BaseRepresentation
bin11101000110100…
…00000000000000
3122000100122212202
432203100000000
5444443342400
640120212332
76022666532
oct1643200000
9560318782
10244121600
11115889198
126990a0a8
133b764b68
14245c9852
15166724d5
hexe8d0000

244121600 has 102 divisors (see below), whose sum is σ = 609480150. Its totient is φ = 96993280.

The previous prime is 244121593. The next prime is 244121629. The reversal of 244121600 is 6121442.

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 243859456 = 512^2 + 15616^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638326 + ... + 1638474.

Almost surely, 2244121600 is an apocalyptic number.

244121600 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 244121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304740075).

244121600 is an abundant number, since it is smaller than the sum of its proper divisors (365358550).

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

244121600 is an frugal number, since it uses more digits than its factorization.

244121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 244121600 is about 15624.3911881391. The cubic root of 244121600 is about 624.9837649116.

The spelling of 244121600 in words is "two hundred forty-four million, one hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 149 160 200 256 298 320 400 512 596 640 745 800 1024 1192 1280 1490 1600 2048 2384 2560 2980 3200 3725 4096 4768 5120 5960 6400 7450 8192 9536 10240 11920 12800 14900 16384 19072 20480 23840 25600 29800 32768 38144 40960 47680 51200 59600 65536 76288 81920 95360 102400 119200 152576 163840 190720 204800 238400 305152 327680 381440 409600 476800 610304 762880 819200 953600 1220608 1525760 1638400 1907200 2441216 3051520 3814400 4882432 6103040 7628800 9764864 12206080 15257600 24412160 30515200 48824320 61030400 122060800 244121600