Search a number
-
+
355535220 = 223519378429
BaseRepresentation
bin10101001100010…
…000100101110100
3220210000001122010
4111030100211310
51212004111340
655140204220
711544666555
oct2514204564
9823001563
10355535220
11172765967
129b099670
1358873791
143530c32c
152132db80
hex15310974

355535220 has 96 divisors (see below), whose sum is σ = 1076342400. Its totient is φ = 87381504.

The previous prime is 355535203. The next prime is 355535221. The reversal of 355535220 is 22535553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355535221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37966 + ... + 46394.

It is an arithmetic number, because the mean of its divisors is an integer number (11211900).

Almost surely, 2355535220 is an apocalyptic number.

355535220 is a gapful number since it is divisible by the number (30) 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 355535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538171200).

355535220 is an abundant number, since it is smaller than the sum of its proper divisors (720807180).

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

355535220 is a wasteful number, since it uses less digits than its factorization.

355535220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8497 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

The square root of 355535220 is about 18855.6415960847. The cubic root of 355535220 is about 708.4255397690.

The spelling of 355535220 in words is "three hundred fifty-five million, five hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8429 8436 10545 14060 16858 21090 25287 33716 42145 42180 50574 84290 101148 126435 160151 168580 252870 311873 320302 480453 505740 623746 640604 800755 935619 960906 1247492 1559365 1601510 1871238 1921812 2402265 3118730 3203020 3742476 4678095 4804530 5925587 6237460 9356190 9609060 11851174 17776761 18712380 23702348 29627935 35553522 59255870 71107044 88883805 118511740 177767610 355535220