[go: up one dir, main page]

Search a number
-
+
222341625 = 33531153113
BaseRepresentation
bin11010100000010…
…10100111111001
3120111101010101000
431100022213321
5423404413000
634021315213
75336605212
oct1520124771
9514333330
10222341625
11104562610
1262565b09
13370aa4bc
142175a409
15147be000
hexd40a9f9

222341625 has 128 divisors (see below), whose sum is σ = 460961280. Its totient is φ = 104832000.

The previous prime is 222341599. The next prime is 222341627. The reversal of 222341625 is 526143222.

It is a happy number.

222341625 is a `hidden beast` number, since 2 + 2 + 2 + 34 + 1 + 625 = 666.

222341625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-222341625 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222341627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1967569 + ... + 1967681.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 2222341625 is an apocalyptic number.

222341625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

222341625 is an abundant number, since it is smaller than the sum of its proper divisors (238619655).

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

222341625 is a wasteful number, since it uses less digits than its factorization.

222341625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 222341625 is about 14911.1242030908. The cubic root of 222341625 is about 605.8153294763.

Adding to 222341625 its reverse (526143222), we get a palindrome (748484847).

The spelling of 222341625 in words is "two hundred twenty-two million, three hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 53 55 75 99 113 125 135 159 165 225 265 275 297 339 375 477 495 565 583 675 795 825 1017 1125 1243 1325 1375 1431 1485 1695 1749 2385 2475 2825 2915 3051 3375 3729 3975 4125 5085 5247 5989 6215 6625 7155 7425 8475 8745 11187 11925 12375 14125 14575 15255 15741 17967 18645 19875 25425 26235 29945 31075 33561 35775 37125 42375 43725 53901 55935 59625 65879 72875 76275 78705 89835 93225 127125 131175 149725 155375 161703 167805 178875 197637 218625 269505 279675 329395 381375 393525 449175 466125 592911 655875 748625 808515 839025 988185 1347525 1398375 1646975 1778733 1967625 2245875 2964555 4042575 4195125 4940925 6737625 8234875 8893665 14822775 20212875 24704625 44468325 74113875 222341625