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224123301400 = 23524328619109
BaseRepresentation
bin1101000010111011001…
…0100010111000011000
3210102111112112100220211
43100232302202320120
512133001031121100
6250543312100504
722122661425535
oct3205662427030
9712445470824
10224123301400
1187060840629
123752a534734
131819a02a00b
14abc1c55d8c
155c6b1be1ba
hex342eca2e18

224123301400 has 96 divisors (see below), whose sum is σ = 533449897200. Its totient is φ = 87524236800.

The previous prime is 224123301383. The next prime is 224123301433. The reversal of 224123301400 is 4103321422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24600046 + ... + 24609154.

Almost surely, 2224123301400 is an apocalyptic number.

224123301400 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 224123301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266724948600).

224123301400 is an abundant number, since it is smaller than the sum of its proper divisors (309326595800).

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

224123301400 is a wasteful number, since it uses less digits than its factorization.

224123301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029 (or 12020 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 224123301400 its reverse (4103321422), we get a palindrome (228226622822).

The spelling of 224123301400 in words is "two hundred twenty-four billion, one hundred twenty-three million, three hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 2861 4300 5722 8600 9109 11444 14305 18218 22888 28610 36436 45545 57220 71525 72872 91090 114440 123023 143050 182180 227725 246046 286100 364360 391687 455450 492092 572200 615115 783374 910900 984184 1230230 1566748 1821800 1958435 2460460 3075575 3133496 3916870 4920920 6151150 7833740 9792175 12302300 15667480 19584350 24604600 26060849 39168700 52121698 78337400 104243396 130304245 208486792 260608490 521216980 651521225 1042433960 1120616507 1303042450 2241233014 2606084900 4482466028 5212169800 5603082535 8964932056 11206165070 22412330140 28015412675 44824660280 56030825350 112061650700 224123301400