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223140401000 = 235311151134341
BaseRepresentation
bin1100111111010000110…
…1000100111101101000
3210022222001000212001022
43033310031010331220
512123442420313000
6250302001112012
722056425053646
oct3176415047550
9708861025038
10223140401000
11866a6a36a50
12372b5328608
13180714c904a
14ab2b4ba196
155c0ec69585
hex33f4344f68

223140401000 has 128 divisors (see below), whose sum is σ = 573393150720. Its totient is φ = 80604000000.

The previous prime is 223140400961. The next prime is 223140401009. The reversal of 223140401000 is 104041322.

It is a super-3 number, since 3×2231404010003 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223140401000.

It is not an unprimeable number, because it can be changed into a prime (223140401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1593830 + ... + 1728170.

It is an arithmetic number, because the mean of its divisors is an integer number (4479633990).

Almost surely, 2223140401000 is an apocalyptic number.

223140401000 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 223140401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286696575360).

223140401000 is an abundant number, since it is smaller than the sum of its proper divisors (350252749720).

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

223140401000 is a wasteful number, since it uses less digits than its factorization.

223140401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134524 (or 134510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 223140401000 its reverse (104041322), we get a palindrome (223244442322).

The spelling of 223140401000 in words is "two hundred twenty-three billion, one hundred forty million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 151 200 220 250 275 302 440 500 550 604 755 1000 1100 1208 1375 1510 1661 2200 2750 3020 3322 3775 5500 6040 6644 7550 8305 11000 13288 15100 16610 18875 30200 33220 37750 41525 66440 75500 83050 134341 151000 166100 207625 268682 332200 415250 537364 671705 830500 1074728 1343410 1477751 1661000 2686820 2955502 3358525 5373640 5911004 6717050 7388755 11822008 13434100 14777510 16792625 20285491 26868200 29555020 33585250 36943775 40570982 59110040 67170500 73887550 81141964 101427455 134341000 147775100 162283928 184718875 202854910 223140401 295550200 369437750 405709820 446280802 507137275 738875500 811419640 892561604 1014274550 1115702005 1477751000 1785123208 2028549100 2231404010 2535686375 4057098200 4462808020 5071372750 5578510025 8925616040 10142745500 11157020050 20285491000 22314040100 27892550125 44628080200 55785100250 111570200500 223140401000