Search a number
-
+
2322642432 = 29311212497
BaseRepresentation
bin1000101001110000…
…1011011000000000
312222212110110102210
42022130023120000
514224044024212
61022250142120
7111362064165
oct21234133000
95885413383
102322642432
11a92086700
12549a21940
132b0272246
1418068406c
15d8d9553c
hex8a70b600

2322642432 has 120 divisors (see below), whose sum is σ = 6801861528. Its totient is φ = 703774720.

The previous prime is 2322642401. The next prime is 2322642437. The reversal of 2322642432 is 2342462232.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2322642432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322642437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179608 + ... + 192104.

Almost surely, 22322642432 is an apocalyptic number.

2322642432 is a gapful number since it is divisible by the number (22) 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 2322642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400930764).

2322642432 is an abundant number, since it is smaller than the sum of its proper divisors (4479219096).

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

2322642432 is a wasteful number, since it uses less digits than its factorization.

2322642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540 (or 12513 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 2322642432 is about 48193.8007631687. The cubic root of 2322642432 is about 1324.3236005568.

The spelling of 2322642432 in words is "two billion, three hundred twenty-two million, six hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1408 1452 1536 1936 2112 2816 2904 3872 4224 5632 5808 7744 8448 11616 12497 15488 16896 23232 24994 30976 37491 46464 49988 61952 74982 92928 99976 137467 149964 185856 199952 274934 299928 399904 412401 549868 599856 799808 824802 1099736 1199712 1512137 1599616 1649604 2199472 2399424 3024274 3199232 3299208 4398944 4536411 4798848 6048548 6398464 6598416 8797888 9072822 9597696 12097096 13196832 17595776 18145644 19195392 24194192 26393664 35191552 36291288 48388384 52787328 70383104 72582576 96776768 105574656 145165152 193553536 211149312 290330304 387107072 580660608 774214144 1161321216 2322642432