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20224420211400 = 2335285939240241
BaseRepresentation
bin1001001100100110111010…
…11000011110101011001000
32122121102202121200110112020
410212103131120132223020
510122324103033231100
6111002545334044440
74155110662240326
oct446233530365310
978542677613466
1020224420211400
116498145a61529
1223277654a9720
13b39201999232
144dcc1d6c0d16
1525113c1535a0
hex1264dd61eac8

20224420211400 has 96 divisors (see below), whose sum is σ = 62768691103200. Its totient is φ = 5386900147200.

The previous prime is 20224420211393. The next prime is 20224420211407. The reversal of 20224420211400 is 411202442202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20224420211393) and next prime (20224420211407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20224420211407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19104721 + ... + 20135520.

It is an arithmetic number, because the mean of its divisors is an integer number (653840532325).

Almost surely, 220224420211400 is an apocalyptic number.

20224420211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20224420211400 is an abundant number, since it is smaller than the sum of its proper divisors (42544270891800).

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

20224420211400 is a wasteful number, since it uses less digits than its factorization.

20224420211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39241119 (or 39241110 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20224420211400 its reverse (411202442202), we get a palindrome (20635622653602).

The spelling of 20224420211400 in words is "twenty trillion, two hundred twenty-four billion, four hundred twenty million, two hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 859 1718 2577 3436 4295 5154 6872 8590 10308 12885 17180 20616 21475 25770 34360 42950 51540 64425 85900 103080 128850 171800 257700 515400 39240241 78480482 117720723 156960964 196201205 235441446 313921928 392402410 470882892 588603615 784804820 941765784 981006025 1177207230 1569609640 1962012050 2354414460 2943018075 3924024100 4708828920 5886036150 7848048200 11772072300 23544144600 33707367019 67414734038 101122101057 134829468076 168536835095 202244202114 269658936152 337073670190 404488404228 505610505285 674147340380 808976808456 842684175475 1011221010570 1348294680760 1685368350950 2022442021140 2528052526425 3370736701900 4044884042280 5056105052850 6741473403800 10112210105700 20224420211400