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244125200 = 245211113491
BaseRepresentation
bin11101000110100…
…00111000010000
3122000100211211002
432203100320100
5444444001300
640120241132
76023013164
oct1643207020
9560324732
10244125200
11115890970
12699101a8
133b7666a7
14245caca4
15166735d5
hexe8d0e10

244125200 has 120 divisors (see below), whose sum is σ = 646806816. Its totient is φ = 87808000.

The previous prime is 244125179. The next prime is 244125239. The reversal of 244125200 is 2521442.

It is a happy number.

It is a super-2 number, since 2×2441252002 = 119194226550080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496955 + ... + 497445.

Almost surely, 2244125200 is an apocalyptic number.

244125200 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 244125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323403408).

244125200 is an abundant number, since it is smaller than the sum of its proper divisors (402681616).

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

244125200 is a wasteful number, since it uses less digits than its factorization.

244125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 244125200 is about 15624.5063922032. The cubic root of 244125200 is about 624.9868370561.

Adding to 244125200 its reverse (2521442), we get a palindrome (246646642).

The spelling of 244125200 in words is "two hundred forty-four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 176 200 220 226 275 400 440 452 491 550 565 880 904 982 1100 1130 1243 1808 1964 2200 2260 2455 2486 2825 3928 4400 4520 4910 4972 5401 5650 6215 7856 9040 9820 9944 10802 11300 12275 12430 19640 19888 21604 22600 24550 24860 27005 31075 39280 43208 45200 49100 49720 54010 55483 62150 86416 98200 99440 108020 110966 124300 135025 196400 216040 221932 248600 270050 277415 432080 443864 497200 540100 554830 610313 887728 1080200 1109660 1220626 1387075 2160400 2219320 2441252 2774150 3051565 4438640 4882504 5548300 6103130 9765008 11096600 12206260 15257825 22193200 24412520 30515650 48825040 61031300 122062600 244125200