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2322142000 = 245319531153
BaseRepresentation
bin1000101001101001…
…0001001100110000
312222211112000222021
42022122101030300
514223432021000
61022231321224
7111354611203
oct21232211460
95884460867
102322142000
11a91874722
12549820214
132b0128529
1418059393a
15d8ce711a
hex8a691330

2322142000 has 160 divisors (see below), whose sum is σ = 6027203520. Its totient is φ = 862617600.

The previous prime is 2322141989. The next prime is 2322142007. The reversal of 2322142000 is 2412232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322142007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013424 + ... + 2014576.

It is an arithmetic number, because the mean of its divisors is an integer number (37670022).

Almost surely, 22322142000 is an apocalyptic number.

2322142000 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 2322142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013601760).

2322142000 is an abundant number, since it is smaller than the sum of its proper divisors (3705061520).

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

2322142000 is a wasteful number, since it uses less digits than its factorization.

2322142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2322142000 is about 48188.6086124096. The cubic root of 2322142000 is about 1324.2284816667.

Adding to 2322142000 its reverse (2412232), we get a palindrome (2324554232).

The spelling of 2322142000 in words is "two billion, three hundred twenty-two million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 53 76 80 95 100 106 125 152 190 200 212 250 265 304 380 400 424 475 500 530 760 848 950 1000 1007 1060 1153 1325 1520 1900 2000 2014 2120 2306 2375 2650 3800 4028 4240 4612 4750 5035 5300 5765 6625 7600 8056 9224 9500 10070 10600 11530 13250 16112 18448 19000 20140 21200 21907 23060 25175 26500 28825 38000 40280 43814 46120 50350 53000 57650 61109 80560 87628 92240 100700 106000 109535 115300 122218 125875 144125 175256 201400 219070 230600 244436 251750 288250 305545 350512 402800 438140 461200 488872 503500 547675 576500 611090 876280 977744 1007000 1095350 1153000 1161071 1222180 1527725 1752560 2014000 2190700 2306000 2322142 2444360 2738375 3055450 4381400 4644284 4888720 5476750 5805355 6110900 7638625 8762800 9288568 10953500 11610710 12221800 15277250 18577136 21907000 23221420 24443600 29026775 30554500 43814000 46442840 58053550 61109000 92885680 116107100 122218000 145133875 232214200 290267750 464428400 580535500 1161071000 2322142000