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2423323320 = 2335113159221
BaseRepresentation
bin1001000001110000…
…1111101010111000
320020212220120122120
42100130033222320
514430332321240
61040244121240
7114023623365
oct22034175270
96225816576
102423323320
1110339a2750
12577696220
132c8093932
1418dbb146c
15e2b31ad0
hex9070fab8

2423323320 has 128 divisors (see below), whose sum is σ = 8186849280. Its totient is φ = 568512000.

The previous prime is 2423323249. The next prime is 2423323339. The reversal of 2423323320 is 233233242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11310 + ... + 70530.

It is an arithmetic number, because the mean of its divisors is an integer number (63959760).

Almost surely, 22423323320 is an apocalyptic number.

2423323320 is a gapful number since it is divisible by the number (20) 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 2423323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093424640).

2423323320 is an abundant number, since it is smaller than the sum of its proper divisors (5763525960).

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

2423323320 is a wasteful number, since it uses less digits than its factorization.

2423323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59277 (or 59273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 2423323320 is about 49227.2619592031. The cubic root of 2423323320 is about 1343.1889815408.

Adding to 2423323320 its reverse (233233242), we get a palindrome (2656556562).

The spelling of 2423323320 in words is "two billion, four hundred twenty-three million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 59221 118442 177663 236884 296105 355326 473768 592210 651431 710652 888315 1184420 1302862 1421304 1776630 1835851 1954293 2368840 2605724 3257155 3553260 3671702 3908586 5211448 5507553 6514310 7106520 7343404 7817172 9179255 9771465 11015106 13028620 14686808 15634344 18358510 19542930 20194361 22030212 26057240 27537765 36717020 39085860 40388722 44060424 55075530 60583083 73434040 78171720 80777444 100971805 110151060 121166166 161554888 201943610 220302120 242332332 302915415 403887220 484664664 605830830 807774440 1211661660 2423323320