Search a number
-
+
540442224 = 243272323311
BaseRepresentation
bin100000001101100…
…111111001110000
31101122221022100200
4200031213321300
52101323122344
6125343315200
716251453210
oct4015477160
91348838320
10540442224
1125807a273
12130babb00
1387c74cca
1451ac2240
15326a6069
hex20367e70

540442224 has 120 divisors (see below), whose sum is σ = 1803789312. Its totient is φ = 147692160.

The previous prime is 540442211. The next prime is 540442241. The reversal of 540442224 is 422244045.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11529 + ... + 34839.

Almost surely, 2540442224 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 540442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901894656).

540442224 is an abundant number, since it is smaller than the sum of its proper divisors (1263347088).

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

540442224 is a wasteful number, since it uses less digits than its factorization.

540442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23355 (or 23346 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 540442224 is about 23247.4132754593. The cubic root of 540442224 is about 814.5475170318.

Adding to 540442224 its reverse (422244045), we get a palindrome (962686269).

The spelling of 540442224 in words is "five hundred forty million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 23311 46622 69933 93244 139866 163177 186488 209799 279732 326354 372976 419598 489531 536153 559464 652708 839196 979062 1072306 1118928 1305416 1468593 1608459 1678392 1958124 2144612 2610832 2937186 3216918 3356784 3753071 3916248 4289224 4825377 5874372 6433836 7506142 7832496 8578448 9650754 11259213 11748744 12867672 15012284 19301508 22518426 23497488 25735344 30024568 33777639 38603016 45036852 60049136 67555278 77206032 90073704 135110556 180147408 270221112 540442224