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201122240 = 26511173361
BaseRepresentation
bin10111111110011…
…10000111000000
3112000110001211212
423333032013000
5402441402430
631542425252
74661340134
oct1377160700
9460401755
10201122240
11a358a130
1257432228
133288b057
141c9d53c4
15129cbb95
hexbfce1c0

201122240 has 112 divisors (see below), whose sum is σ = 553358304. Its totient is φ = 68812800.

The previous prime is 201122237. The next prime is 201122249. The reversal of 201122240 is 42221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58160 + ... + 61520.

Almost surely, 2201122240 is an apocalyptic number.

201122240 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 201122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276679152).

201122240 is an abundant number, since it is smaller than the sum of its proper divisors (352236064).

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

201122240 is a wasteful number, since it uses less digits than its factorization.

201122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 201122240 is about 14181.7572959066. The cubic root of 201122240 is about 585.8953246775.

Adding to 201122240 its reverse (42221102), we get a palindrome (243343342).

The spelling of 201122240 in words is "two hundred one million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2720 2992 3361 3520 3740 5440 5984 6722 7480 11968 13444 14960 16805 26888 29920 33610 36971 53776 57137 59840 67220 73942 107552 114274 134440 147884 184855 215104 228548 268880 285685 295768 369710 457096 537760 571370 591536 628507 739420 914192 1075520 1142740 1183072 1257014 1478840 1828384 2285480 2366144 2514028 2957680 3142535 3656768 4570960 5028056 5915360 6285070 9141920 10056112 11830720 12570140 18283840 20112224 25140280 40224448 50280560 100561120 201122240