Search a number
-
+
202411272 = 233779101151
BaseRepresentation
bin11000001000010…
…00110100001000
3112002212120001210
430010020310020
5403304130042
632030213120
75005316220
oct1404106410
9462776053
10202411272
11a428a648
12579541a0
1332c1c9ab
141cc4d080
1512b83a9c
hexc108d08

202411272 has 128 divisors (see below), whose sum is σ = 595353600. Its totient is φ = 56160000.

The previous prime is 202411249. The next prime is 202411283. The reversal of 202411272 is 272114202.

202411272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340397 + ... + 1340547.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2202411272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202411272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297676800).

202411272 is an abundant number, since it is smaller than the sum of its proper divisors (392942328).

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

202411272 is a wasteful number, since it uses less digits than its factorization.

202411272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 202411272 is about 14227.1315450445. The cubic root of 202411272 is about 587.1443661453.

Adding to 202411272 its reverse (272114202), we get a palindrome (474525474).

The spelling of 202411272 in words is "two hundred two million, four hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 101 151 158 168 202 237 302 303 316 404 453 474 553 604 606 632 707 808 906 948 1057 1106 1208 1212 1414 1659 1812 1896 2114 2121 2212 2424 2828 3171 3318 3624 4228 4242 4424 5656 6342 6636 7979 8456 8484 11929 12684 13272 15251 15958 16968 23858 23937 25368 30502 31916 35787 45753 47716 47874 55853 61004 63832 71574 83503 91506 95432 95748 106757 111706 122008 143148 167006 167559 183012 191496 213514 223412 250509 286296 320271 334012 335118 366024 427028 446824 501018 640542 668024 670236 854056 1002036 1204829 1281084 1340472 2004072 2409658 2562168 3614487 4819316 7228974 8433803 9638632 14457948 16867606 25301409 28915896 33735212 50602818 67470424 101205636 202411272