Search a number
-
+
30202226100 = 22325233558029
BaseRepresentation
bin11100001000001100…
…010110010110110100
32212221211211001102200
4130020030112112310
5443323232213400
621512534304500
72116303454214
oct341014262664
985854731380
1030202226100
1111899407542
125a2a7b8130
132b0424b707
14166724a244
15bbb772b00
hex7083165b4

30202226100 has 54 divisors (see below), whose sum is σ = 94667202630. Its totient is φ = 8053926720.

The previous prime is 30202226099. The next prime is 30202226111. The reversal of 30202226100 is 162220203.

30202226100 is a `hidden beast` number, since 30 + 2 + 0 + 2 + 22 + 610 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4281870096 + 25920356004 = 65436^2 + 160998^2 .

It is a super-2 number, since 2×302022261002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16778115 + ... + 16779914.

It is an arithmetic number, because the mean of its divisors is an integer number (1753096345).

Almost surely, 230202226100 is an apocalyptic number.

30202226100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30202226100 is an abundant number, since it is smaller than the sum of its proper divisors (64464976530).

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

30202226100 is a wasteful number, since it uses less digits than its factorization.

30202226100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33558049 (or 33558039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30202226100 its reverse (162220203), we get a palindrome (30364446303).

The spelling of 30202226100 in words is "thirty billion, two hundred two million, two hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 33558029 67116058 100674087 134232116 167790145 201348174 302022261 335580290 402696348 503370435 604044522 671160580 838950725 1006740870 1208089044 1510111305 1677901450 2013481740 2516852175 3020222610 3355802900 5033704350 6040445220 7550556525 10067408700 15101113050 30202226100