Search a number
-
+
1222534000 = 24532112897
BaseRepresentation
bin100100011011110…
…0110001101110000
310011012102011101001
41020313212031300
510000432042000
6321151051344
742203240032
oct11067461560
93135364331
101222534000
115780a7986
122a1510b54
131663840cc
14b8517c52
15724dc46a
hex48de6370

1222534000 has 80 divisors (see below), whose sum is σ = 2971122336. Its totient is φ = 486528000.

The previous prime is 1222533979. The next prime is 1222534009. The reversal of 1222534000 is 4352221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222534009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420552 + ... + 423448.

Almost surely, 21222534000 is an apocalyptic number.

1222534000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485561168).

1222534000 is an abundant number, since it is smaller than the sum of its proper divisors (1748588336).

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

1222534000 is a wasteful number, since it uses less digits than its factorization.

1222534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1222534000 is about 34964.7536813861. The cubic root of 1222534000 is about 1069.2690148081.

Adding to 1222534000 its reverse (4352221), we get a palindrome (1226886221).

It can be divided in two parts, 122253 and 4000, that added together give a triangular number (126253 = T502).

The spelling of 1222534000 in words is "one billion, two hundred twenty-two million, five hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 211 250 400 422 500 844 1000 1055 1688 2000 2110 2897 3376 4220 5275 5794 8440 10550 11588 14485 16880 21100 23176 26375 28970 42200 46352 52750 57940 72425 84400 105500 115880 144850 211000 231760 289700 362125 422000 579400 611267 724250 1158800 1222534 1448500 2445068 2897000 3056335 4890136 5794000 6112670 9780272 12225340 15281675 24450680 30563350 48901360 61126700 76408375 122253400 152816750 244506800 305633500 611267000 1222534000