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23442341112200 = 23521572293260137
BaseRepresentation
bin1010101010010000110000…
…11010100010100110001000
310002000001210001120111210102
411111020120122202212020
511033034403311042300
6121505132434504532
74636440031501553
oct525103032424610
9102001701514712
1023442341112200
11751892846541a
122767348735148
1310107ac5424ca
145b08887b569a
152a9bc829d0d5
hex1552186a2988

23442341112200 has 96 divisors (see below), whose sum is σ = 55090137937800. Its totient is φ = 9276521379840.

The previous prime is 23442341112173. The next prime is 23442341112209. The reversal of 23442341112200 is 221114324432.

It can be written as a sum of positive squares in 12 ways, for example, as 950067381796 + 22492273730404 = 974714^2 + 4742602^2 .

It is not an unprimeable number, because it can be changed into a prime (23442341112209) by changing a digit.

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, 5560532 + ... + 8820668.

Almost surely, 223442341112200 is an apocalyptic number.

23442341112200 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 23442341112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27545068968900).

23442341112200 is an abundant number, since it is smaller than the sum of its proper divisors (31647796825600).

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

23442341112200 is a wasteful number, since it uses less digits than its factorization.

23442341112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260539 (or 3260530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 23442341112200 its reverse (221114324432), we get a palindrome (23663455436632).

The spelling of 23442341112200 in words is "twenty-three trillion, four hundred forty-two billion, three hundred forty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 229 314 458 628 785 916 1145 1256 1570 1832 2290 3140 3925 4580 5725 6280 7850 9160 11450 15700 22900 31400 35953 45800 71906 143812 179765 287624 359530 719060 898825 1438120 1797650 3260137 3595300 6520274 7190600 13040548 16300685 26081096 32601370 65202740 81503425 130405480 163006850 326013700 511841509 652027400 746571373 1023683018 1493142746 2047366036 2559207545 2986285492 3732856865 4094732072 5118415090 5972570984 7465713730 10236830180 12796037725 14931427460 18664284325 20473660360 25592075450 29862854920 37328568650 51184150900 74657137300 102368301800 117211705561 149314274600 234423411122 468846822244 586058527805 937693644488 1172117055610 2344234111220 2930292639025 4688468222440 5860585278050 11721170556100 23442341112200