Search a number
-
+
190820224 = 277212969
BaseRepresentation
bin10110101111110…
…10111110000000
3111022001200010201
423113322332000
5342322221344
630533534544
74504642120
oct1327727600
9438050121
10190820224
1198793071
1253aa4454
13306c1b9a
141b4b2c80
1511b444d4
hexb5faf80

190820224 has 32 divisors (see below), whose sum is σ = 434458800. Its totient is φ = 81779712.

The previous prime is 190820153. The next prime is 190820297. The reversal of 190820224 is 422028091.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 190820192 and 190820201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105589 + ... + 107380.

Almost surely, 2190820224 is an apocalyptic number.

190820224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

190820224 is an abundant number, since it is smaller than the sum of its proper divisors (243638576).

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

190820224 is an equidigital number, since it uses as much as digits as its factorization.

190820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212990 (or 212978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 190820224 is about 13813.7693624876. The cubic root of 190820224 is about 575.7157805607.

The spelling of 190820224 in words is "one hundred ninety million, eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 212969 425938 851876 1490783 1703752 2981566 3407504 5963132 6815008 11926264 13630016 23852528 27260032 47705056 95410112 190820224