Search a number
-
+
2205274140 = 2233519214939
BaseRepresentation
bin1000001101110001…
…1101000000011100
312200200121112102000
42003130131000130
514004022233030
61002454402300
7105435343446
oct20334350034
95620545360
102205274140
11a31902113
12516660390
13291b5a154
1416cc51496
15cd90e860
hex8371d01c

2205274140 has 96 divisors (see below), whose sum is σ = 7221984000. Its totient is φ = 557119296.

The previous prime is 2205274133. The next prime is 2205274147. The reversal of 2205274140 is 414725022.

2205274140 is a `hidden beast` number, since 220 + 5 + 27 + 414 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2205274133) and next prime (2205274147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205274147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97210 + ... + 117729.

It is an arithmetic number, because the mean of its divisors is an integer number (75229000).

Almost surely, 22205274140 is an apocalyptic number.

2205274140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205274140 is an abundant number, since it is smaller than the sum of its proper divisors (5016709860).

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

2205274140 is a wasteful number, since it uses less digits than its factorization.

2205274140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214976 (or 214968 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2205274140 is about 46960.3464637986. The cubic root of 2205274140 is about 1301.6299358138.

Adding to 2205274140 its reverse (414725022), we get a palindrome (2619999162).

The spelling of 2205274140 in words is "two billion, two hundred five million, two hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 214939 429878 644817 859756 1074695 1289634 1934451 2149390 2579268 3224085 3868902 4083841 4298780 5803353 6448170 7737804 8167682 9672255 11606706 12251523 12896340 16335364 19344510 20419205 23213412 24503046 29016765 36754569 38689020 40838410 49006092 58033530 61257615 73509138 81676820 110263707 116067060 122515230 147018276 183772845 220527414 245030460 367545690 441054828 551318535 735091380 1102637070 2205274140