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2285001120 = 25354760419
BaseRepresentation
bin1000100000110010…
…0101100110100000
312220020122002021010
42020030211212200
514134430013440
61014423300520
7110424121563
oct21014454640
95806562233
102285001120
11a72907186
125392aa740
132a552318c
141796864da
15d590c580
hex883259a0

2285001120 has 48 divisors (see below), whose sum is σ = 7197755040. Its totient is φ = 609333504.

The previous prime is 2285001113. The next prime is 2285001133. The reversal of 2285001120 is 211005822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2379730 + ... + 2380689.

It is an arithmetic number, because the mean of its divisors is an integer number (149953230).

Almost surely, 22285001120 is an apocalyptic number.

2285001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2285001120 is an abundant number, since it is smaller than the sum of its proper divisors (4912753920).

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

2285001120 is a wasteful number, since it uses less digits than its factorization.

2285001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760437 (or 4760429 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2285001120 is about 47801.6853259380. The cubic root of 2285001120 is about 1317.1304975536.

Adding to 2285001120 its reverse (211005822), we get a palindrome (2496006942).

The spelling of 2285001120 in words is "two billion, two hundred eighty-five million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4760419 9520838 14281257 19041676 23802095 28562514 38083352 47604190 57125028 71406285 76166704 95208380 114250056 142812570 152333408 190416760 228500112 285625140 380833520 457000224 571250280 761667040 1142500560 2285001120