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3130224000 = 2735365213
BaseRepresentation
bin1011101010010011…
…0110110110000000
322002011001212002020
42322210312312000
522402314132000
61234335321440
7140366315331
oct27244666600
98064055066
103130224000
111366a25692
12734380280
133ab67ac67
14219a24288
15134c18ba0
hexba936d80

3130224000 has 128 divisors (see below), whose sum is σ = 10376851680. Its totient is φ = 834713600.

The previous prime is 3130223981. The next prime is 3130224049. The reversal of 3130224000 is 4220313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15394 + ... + 80606.

Almost surely, 23130224000 is an apocalyptic number.

3130224000 is a gapful number since it is divisible by the number (30) 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 3130224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188425840).

3130224000 is an abundant number, since it is smaller than the sum of its proper divisors (7246627680).

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

3130224000 is an equidigital number, since it uses as much as digits as its factorization.

3130224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65245 (or 65223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3130224000 is about 55948.4048029968. The cubic root of 3130224000 is about 1462.8230859003.

Adding to 3130224000 its reverse (4220313), we get a palindrome (3134444313).

The spelling of 3130224000 in words is "three billion, one hundred thirty million, two hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 65213 130426 195639 260852 326065 391278 521704 652130 782556 978195 1043408 1304260 1565112 1630325 1956390 2086816 2608520 3130224 3260650 3912780 4173632 4890975 5217040 6260448 6521300 7825560 8151625 8347264 9781950 10434080 12520896 13042600 15651120 16303250 19563900 20868160 24454875 25041792 26085200 31302240 32606500 39127800 41736320 48909750 52170400 62604480 65213000 78255600 97819500 104340800 125208960 130426000 156511200 195639000 208681600 260852000 313022400 391278000 521704000 626044800 782556000 1043408000 1565112000 3130224000