Search a number
-
+
2232606492 = 2232375928409
BaseRepresentation
bin1000010100010010…
…1101111100011100
312202121001011100100
42011010231330130
514033021401432
61005312301100
7106216561554
oct20504557434
95677034310
102232606492
11a46280336
12523841790
13297709b3c
14172728164
15d100d07c
hex8512df1c

2232606492 has 72 divisors (see below), whose sum is σ = 5894506800. Its totient is φ = 711790848.

The previous prime is 2232606461. The next prime is 2232606511. The reversal of 2232606492 is 2946062322.

2232606492 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 6 + 0 + 649 + 2 = 666.

It is a super-3 number, since 3×22326064923 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64384 + ... + 92792.

It is an arithmetic number, because the mean of its divisors is an integer number (81868150).

Almost surely, 22232606492 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 2232606492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947253400).

2232606492 is an abundant number, since it is smaller than the sum of its proper divisors (3661900308).

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

2232606492 is a wasteful number, since it uses less digits than its factorization.

2232606492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28515 (or 28510 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2232606492 is about 47250.4655215163. The cubic root of 2232606492 is about 1306.9853745290.

The spelling of 2232606492 in words is "two billion, two hundred thirty-two million, six hundred six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 59 74 111 118 148 177 222 236 333 354 444 531 666 708 1062 1332 2124 2183 4366 6549 8732 13098 19647 26196 28409 39294 56818 78588 85227 113636 170454 255681 340908 511362 1022724 1051133 1676131 2102266 3153399 3352262 4204532 5028393 6306798 6704524 9460197 10056786 12613596 15085179 18920394 20113572 30170358 37840788 60340716 62016847 124033694 186050541 248067388 372101082 558151623 744202164 1116303246 2232606492