Search a number
-
+
202400211444 = 223292385724379
BaseRepresentation
bin1011110001111111111…
…1100010000111110100
3201100102121201001121120
42330133333202013310
511304003423231234
6232551550543540
720423444261004
oct2743777420764
9640377631546
10202400211444
1178923708622
1233287507bb0
1316117680132
149b20b98004
1553e903d049
hex2f1ffe21f4

202400211444 has 48 divisors (see below), whose sum is σ = 488592753600. Its totient is φ = 65134895616.

The previous prime is 202400211407. The next prime is 202400211521. The reversal of 202400211444 is 444112004202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8290047 + ... + 8314425.

It is an arithmetic number, because the mean of its divisors is an integer number (10179015700).

Almost surely, 2202400211444 is an apocalyptic number.

It is an amenable number.

202400211444 is an abundant number, since it is smaller than the sum of its proper divisors (286192542156).

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

202400211444 is a wasteful number, since it uses less digits than its factorization.

202400211444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48272 (or 48270 counting only the distinct ones).

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

Adding to 202400211444 its reverse (444112004202), we get a palindrome (646512215646).

The spelling of 202400211444 in words is "two hundred two billion, four hundred million, two hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 23857 24379 47714 48758 71571 73137 95428 97516 143142 146274 286284 292548 691853 706991 1383706 1413982 2075559 2120973 2767412 2827964 4151118 4241946 8302236 8483892 581609803 1163219606 1744829409 2326439212 3489658818 6979317636 16866684287 33733368574 50600052861 67466737148 101200105722 202400211444