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2320001442 = 2321124148619
BaseRepresentation
bin1000101001001000…
…0110100110100010
312222200111021200100
42022102012212202
514222410021232
61022113403230
7111330454413
oct21222064642
95880437610
102320001442
11a90642470
12548b69516
132ac859125
1418019780a
15d8a22c7c
hex8a4869a2

2320001442 has 48 divisors (see below), whose sum is σ = 5506506720. Its totient is φ = 700099200.

The previous prime is 2320001413. The next prime is 2320001447. The reversal of 2320001442 is 2441000232.

2320001442 is a `hidden beast` number, since 23 + 200 + 0 + 1 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2320001447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23409 + ... + 72027.

It is an arithmetic number, because the mean of its divisors is an integer number (114718890).

Almost surely, 22320001442 is an apocalyptic number.

2320001442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320001442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753253360).

2320001442 is an abundant number, since it is smaller than the sum of its proper divisors (3186505278).

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

2320001442 is a wasteful number, since it uses less digits than its factorization.

2320001442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48879 (or 48876 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2320001442 is about 48166.3932841146. The cubic root of 2320001442 is about 1323.8214638796.

Adding to 2320001442 its reverse (2441000232), we get a palindrome (4761001674).

The spelling of 2320001442 in words is "two billion, three hundred twenty million, one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 241 482 723 1446 2169 2651 4338 5302 7953 15906 23859 47718 48619 97238 145857 291714 437571 534809 875142 1069618 1604427 3208854 4813281 9626562 11717179 23434358 35151537 70303074 105454611 128888969 210909222 257777938 386666907 773333814 1160000721 2320001442