Search a number
-
+
355540224 = 28313149239
BaseRepresentation
bin10101001100010…
…001110100000000
3220210000022111110
4111030101310000
51212004241344
655140243320
711545020264
oct2514216400
9823008443
10355540224
111727696a6
129b0a0540
1358875b40
14353100a4
15213303b9
hex15311d00

355540224 has 144 divisors (see below), whose sum is σ = 1030176000. Its totient is φ = 108208128.

The previous prime is 355540223. The next prime is 355540231. The reversal of 355540224 is 422045553.

It is a junction number, because it is equal to n+sod(n) for n = 355540191 and 355540200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355540223) 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, 1487497 + ... + 1487735.

It is an arithmetic number, because the mean of its divisors is an integer number (7154000).

Almost surely, 2355540224 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 355540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088000).

355540224 is an abundant number, since it is smaller than the sum of its proper divisors (674635776).

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

355540224 is a wasteful number, since it uses less digits than its factorization.

355540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 355540224 is about 18855.7742879999. The cubic root of 355540224 is about 708.4288633448.

Adding to 355540224 its reverse (422045553), we get a palindrome (777585777).

The spelling of 355540224 in words is "three hundred fifty-five million, five hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 149 156 192 208 239 256 298 312 384 416 447 478 596 624 717 768 832 894 956 1192 1248 1434 1664 1788 1912 1937 2384 2496 2868 3107 3328 3576 3824 3874 4768 4992 5736 5811 6214 7152 7648 7748 9321 9536 9984 11472 11622 12428 14304 15296 15496 18642 19072 22944 23244 24856 28608 30592 30992 35611 37284 38144 45888 46488 49712 57216 61184 61984 71222 74568 91776 92976 99424 106833 114432 123968 142444 149136 183552 185952 198848 213666 247936 284888 298272 371904 397696 427332 462943 495872 569776 596544 743808 795392 854664 925886 1139552 1193088 1388829 1487616 1709328 1851772 2279104 2386176 2777658 3418656 3703544 4558208 5555316 6837312 7407088 9116416 11110632 13674624 14814176 22221264 27349248 29628352 44442528 59256704 88885056 118513408 177770112 355540224