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8672228320 = 255776910069
BaseRepresentation
bin10000001001110011…
…11011001111100000
3211101101022211210111
420010321323033200
5120230042301240
63552311541104
7424622503330
oct100471731740
924341284714
108672228320
113750279548
12182038a794
13a828aa862
145c3a930c0
1535b5341ea
hex204e7b3e0

8672228320 has 96 divisors (see below), whose sum is σ = 23447793600. Its totient is φ = 2969174016.

The previous prime is 8672228317. The next prime is 8672228329. The reversal of 8672228320 is 238222768.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8672228329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856246 + ... + 866314.

It is an arithmetic number, because the mean of its divisors is an integer number (244247850).

Almost surely, 28672228320 is an apocalyptic number.

8672228320 is a gapful number since it is divisible by the number (80) 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 8672228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723896800).

8672228320 is an abundant number, since it is smaller than the sum of its proper divisors (14775565280).

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

8672228320 is a wasteful number, since it uses less digits than its factorization.

8672228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10860 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 8672228320 is about 93124.7997044826. The cubic root of 8672228320 is about 2054.5193430305.

The spelling of 8672228320 in words is "eight billion, six hundred seventy-two million, two hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 769 1120 1538 3076 3845 5383 6152 7690 10069 10766 12304 15380 20138 21532 24608 26915 30760 40276 43064 50345 53830 61520 70483 80552 86128 100690 107660 123040 140966 161104 172256 201380 215320 281932 322208 352415 402760 430640 563864 704830 805520 861280 1127728 1409660 1611040 2255456 2819320 5638640 7743061 11277280 15486122 30972244 38715305 54201427 61944488 77430610 108402854 123888976 154861220 216805708 247777952 271007135 309722440 433611416 542014270 619444880 867222832 1084028540 1238889760 1734445664 2168057080 4336114160 8672228320