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224102104000 = 2653271110333
BaseRepresentation
bin1101000010110110000…
…1101011101111000000
3210102110001122102112221
43100231201223233000
512132430114312000
6250541233500424
722122313311535
oct3205541535700
9712401572487
10224102104000
118704a882715
1237523411714
1318195817888
14abbd0d8d8c
155c693d361a
hex342d86bbc0

224102104000 has 112 divisors (see below), whose sum is σ = 555247308096. Its totient is φ = 89599104000.

The previous prime is 224102103989. The next prime is 224102104007. The reversal of 224102104000 is 401201422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224102104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21682834 + ... + 21693166.

Almost surely, 2224102104000 is an apocalyptic number.

224102104000 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 224102104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277623654048).

224102104000 is an abundant number, since it is smaller than the sum of its proper divisors (331145204096).

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

224102104000 is a wasteful number, since it uses less digits than its factorization.

224102104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13071 (or 13051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 224102104000 its reverse (401201422), we get a palindrome (224503305422).

The spelling of 224102104000 in words is "two hundred twenty-four billion, one hundred two million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2711 4000 5422 8000 10333 10844 13555 20666 21688 27110 41332 43376 51665 54220 67775 82664 86752 103330 108440 135550 165328 173504 206660 216880 258325 271100 330656 338875 413320 433760 516650 542200 661312 677750 826640 867520 1033300 1084400 1291625 1355500 1653280 2066600 2168800 2583250 2711000 3306560 4133200 4337600 5166500 5422000 8266400 10333000 10844000 16532800 20666000 21688000 28012763 41332000 56025526 82664000 112051052 140063815 224102104 280127630 448204208 560255260 700319075 896408416 1120510520 1400638150 1792816832 2241021040 2801276300 3501595375 4482042080 5602552600 7003190750 8964084160 11205105200 14006381500 22410210400 28012763000 44820420800 56025526000 112051052000 224102104000