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244122113200 = 24527601145069
BaseRepresentation
bin1110001101011011001…
…1111101010010110000
3212100010021211021021011
43203112303331102300
512444430230110300
6304052000040304
723431400503360
oct3432663752260
9770107737234
10244122113200
1194593628969
123b390003094
131a0363a9b74
14bb5bd0c9a0
15653bca2eba
hex38d6cfd4b0

244122113200 has 120 divisors (see below), whose sum is σ = 671409492320. Its totient is φ = 83559168000.

The previous prime is 244122113173. The next prime is 244122113231. The reversal of 244122113200 is 2311221442.

It is a super-2 number, since 2×2441221132002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1610266 + ... + 1755334.

Almost surely, 2244122113200 is an apocalyptic number.

244122113200 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 244122113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335704746160).

244122113200 is an abundant number, since it is smaller than the sum of its proper divisors (427287379120).

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

244122113200 is a wasteful number, since it uses less digits than its factorization.

244122113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145695 (or 145684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 244122113200 its reverse (2311221442), we get a palindrome (246433334642).

The spelling of 244122113200 in words is "two hundred forty-four billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 601 700 1202 1400 2404 2800 3005 4207 4808 6010 8414 9616 12020 15025 16828 21035 24040 30050 33656 42070 48080 60100 67312 84140 105175 120200 145069 168280 210350 240400 290138 336560 420700 580276 725345 841400 1015483 1160552 1450690 1682800 2030966 2321104 2901380 3626725 4061932 5077415 5802760 7253450 8123864 10154830 11605520 14506900 16247728 20309660 25387075 29013800 40619320 50774150 58027600 81238640 87186469 101548300 174372938 203096600 348745876 406193200 435932345 610305283 697491752 871864690 1220610566 1394983504 1743729380 2179661725 2441221132 3051526415 3487458760 4359323450 4882442264 6103052830 6974917520 8718646900 9764884528 12206105660 15257632075 17437293800 24412211320 30515264150 34874587600 48824422640 61030528300 122061056600 244122113200