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190229310900 = 223252211365901
BaseRepresentation
bin1011000100101010001…
…1001110110110110100
3200012000102000020210100
42301022203032312310
511104042200422100
6223220134154100
716513026314646
oct2611243166664
9605012006710
10190229310900
1173748539932
1230a4b4b2930
1314c27cac435
1492c85b0896
154e357b0400
hex2c4a8cedb4

190229310900 has 54 divisors (see below), whose sum is σ = 596263209542. Its totient is φ = 50727816000.

The previous prime is 190229310863. The next prime is 190229310907. The reversal of 190229310900 is 9013922091.

It is a happy number.

190229310900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 55367031204 + 134862279696 = 235302^2 + 367236^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190229310907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105682051 + ... + 105683850.

Almost surely, 2190229310900 is an apocalyptic number.

190229310900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190229310900 is an abundant number, since it is smaller than the sum of its proper divisors (406033898642).

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

190229310900 is a wasteful number, since it uses less digits than its factorization.

190229310900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211365921 (or 211365911 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 190229310900 in words is "one hundred ninety billion, two hundred twenty-nine million, three hundred ten thousand, nine 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 211365901 422731802 634097703 845463604 1056829505 1268195406 1902293109 2113659010 2536390812 3170488515 3804586218 4227318020 5284147525 6340977030 7609172436 9511465545 10568295050 12681954060 15852442575 19022931090 21136590100 31704885150 38045862180 47557327725 63409770300 95114655450 190229310900