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355422100 = 2252111033137
BaseRepresentation
bin10101001011110…
…100111110010100
3220202210022110111
4111023310332110
51211442001400
655133532404
711544016015
oct2513647624
9822708414
10355422100
11172698980
129b044104
1358834147
14352bd00c
152130a3ba
hex152f4f94

355422100 has 72 divisors (see below), whose sum is σ = 849820608. Its totient is φ = 127948800.

The previous prime is 355422091. The next prime is 355422101. The reversal of 355422100 is 1224553.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355422101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111732 + ... + 114868.

It is an arithmetic number, because the mean of its divisors is an integer number (11803064).

Almost surely, 2355422100 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 355422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424910304).

355422100 is an abundant number, since it is smaller than the sum of its proper divisors (494398508).

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

355422100 is a wasteful number, since it uses less digits than its factorization.

355422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 355422100 is about 18852.6417247027. The cubic root of 355422100 is about 708.3503989737.

Adding to 355422100 its reverse (1224553), we get a palindrome (356646653).

The spelling of 355422100 in words is "three hundred fifty-five million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 3137 4532 5150 5665 6274 10300 11330 12548 15685 22660 28325 31370 34507 56650 62740 69014 78425 113300 138028 156850 172535 313700 323111 345070 646222 690140 862675 1292444 1615555 1725350 3231110 3450700 3554221 6462220 7108442 8077775 14216884 16155550 17771105 32311100 35542210 71084420 88855525 177711050 355422100