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204230424114400 = 2552392347650669
BaseRepresentation
bin101110011011111100011001…
…111000011011010011100000
3222210010020102101221120221211
4232123330121320123103200
5203232102402033130100
62002210054523555504
761006106204061625
oct5633743170332340
9883106371846854
10204230424114400
115a08a700155612
121aaa528398bb94
1389c5b005a4228
143860b3b93034c
15189277e4711ba
hexb9bf19e1b4e0

204230424114400 has 72 divisors (see below), whose sum is σ = 498579559881480. Its totient is φ = 81691835880960.

The previous prime is 204230424114341. The next prime is 204230424114403. The reversal of 204230424114400 is 4411424032402.

It is a happy number.

It is a super-2 number, since 2×2042304241144002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204230424114403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313552266 + ... + 314202934.

It is an arithmetic number, because the mean of its divisors is an integer number (6924716109465).

Almost surely, 2204230424114400 is an apocalyptic number.

204230424114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204230424114400 is an abundant number, since it is smaller than the sum of its proper divisors (294349135767080).

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

204230424114400 is a wasteful number, since it uses less digits than its factorization.

204230424114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043036 (or 1043023 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 204230424114400 its reverse (4411424032402), we get a palindrome (208641848146802).

The spelling of 204230424114400 in words is "two hundred four trillion, two hundred thirty billion, four hundred twenty-four million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 392347 650669 784694 1301338 1569388 1961735 2602676 3138776 3253345 3923470 5205352 6277552 6506690 7846940 9808675 10410704 12555104 13013380 15693880 16266725 19617350 20821408 26026760 31387760 32533450 39234700 52053520 62775520 65066900 78469400 104107040 130133800 156938800 260267600 313877600 520535200 255288030143 510576060286 1021152120572 1276440150715 2042304241144 2552880301430 4084608482288 5105760602860 6382200753575 8169216964576 10211521205720 12764401507150 20423042411440 25528803014300 40846084822880 51057606028600 102115212057200 204230424114400