Search a number
-
+
1222552352 = 25728832
BaseRepresentation
bin100100011011110…
…1010101100100000
310011012110002112202
41020313222230200
510000433133402
6321151312332
742203344400
oct11067525440
93135402482
101222552352
1157810a74a
122a151b6a8
1316638c578
14b8520800
15724e2b02
hex48deab20

1222552352 has 54 divisors (see below), whose sum is σ = 2803037643. Its totient is φ = 523357632.

The previous prime is 1222552351. The next prime is 1222552427. The reversal of 1222552352 is 2532552221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 611276176 + 611276176 = 24724^2 + 24724^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=24724.

It is not an unprimeable number, because it can be changed into a prime (1222552351) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1384103 + ... + 1384985.

Almost surely, 21222552352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222552352

1222552352 is an abundant number, since it is smaller than the sum of its proper divisors (1580485291).

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

1222552352 is an frugal number, since it uses more digits than its factorization.

1222552352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 892 counting only the distinct ones).

The product of its digits is 12000, while the sum is 29.

The square root of 1222552352 is about 34965.0161161124. The cubic root of 1222552352 is about 1069.2743652051.

The spelling of 1222552352 in words is "one billion, two hundred twenty-two million, five hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 883 1568 1766 3532 6181 7064 12362 14128 24724 28256 43267 49448 86534 98896 173068 197792 346136 692272 779689 1384544 1559378 3118756 5457823 6237512 10915646 12475024 21831292 24950048 38204761 43662584 76409522 87325168 152819044 174650336 305638088 611276176 1222552352