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2422145320 = 2357311731613
BaseRepresentation
bin1001000001011111…
…0000000100101000
320020210200201201221
42100113300010220
514430032122240
61040202551424
7114010616110
oct22027600450
96223621657
102422145320
1110332686a1
12577208574
132c7a706aa
1418d986040
15e299ca4a
hex905f0128

2422145320 has 128 divisors (see below), whose sum is σ = 6470461440. Its totient is φ = 798520320.

The previous prime is 2422145311. The next prime is 2422145321. The reversal of 2422145320 is 235412242.

It is not an unprimeable number, because it can be changed into a prime (2422145321) 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 31 ways as a sum of consecutive naturals, for example, 1500834 + ... + 1502446.

It is an arithmetic number, because the mean of its divisors is an integer number (50550480).

Almost surely, 22422145320 is an apocalyptic number.

2422145320 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 2422145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235230720).

2422145320 is an abundant number, since it is smaller than the sum of its proper divisors (4048316120).

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

2422145320 is a wasteful number, since it uses less digits than its factorization.

2422145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2422145320 is about 49215.2955898875. The cubic root of 2422145320 is about 1342.9713007135.

Adding to 2422145320 its reverse (235412242), we get a palindrome (2657557562).

The spelling of 2422145320 in words is "two billion, four hundred twenty-two million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 173 217 248 280 310 346 434 620 692 865 868 1085 1211 1240 1384 1613 1730 1736 2170 2422 3226 3460 4340 4844 5363 6055 6452 6920 8065 8680 9688 10726 11291 12110 12904 16130 21452 22582 24220 26815 32260 37541 42904 45164 48440 50003 53630 56455 64520 75082 90328 100006 107260 112910 150164 187705 200012 214520 225820 250015 279049 300328 350021 375410 400024 451640 500030 558098 700042 750820 1000060 1116196 1395245 1400084 1501640 1750105 1953343 2000120 2232392 2790490 2800168 3500210 3906686 5580980 7000420 7813372 8650519 9766715 11161960 14000840 15626744 17301038 19533430 34602076 39066860 43252595 60553633 69204152 78133720 86505190 121107266 173010380 242214532 302768165 346020760 484429064 605536330 1211072660 2422145320