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2230271280 = 243355871759
BaseRepresentation
bin1000010011101111…
…0011110100110000
312202102122112001000
42010323303310300
514031422140110
61005150242000
7106160664426
oct20473636460
95672575030
102230271280
11a44a25906
12522ab6300
1329709cc63
141722bb116
15d0beb1c0
hex84ef3d30

2230271280 has 160 divisors (see below), whose sum is σ = 7699507200. Its totient is φ = 593388288.

The previous prime is 2230271279. The next prime is 2230271333. The reversal of 2230271280 is 821720322.

It is a happy number.

2230271280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1267041 + ... + 1268799.

It is an arithmetic number, because the mean of its divisors is an integer number (48121920).

Almost surely, 22230271280 is an apocalyptic number.

2230271280 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 2230271280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849753600).

2230271280 is an abundant number, since it is smaller than the sum of its proper divisors (5469235920).

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

2230271280 is a wasteful number, since it uses less digits than its factorization.

2230271280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2230271280 is about 47225.7480618359. The cubic root of 2230271280 is about 1306.5295317464.

The spelling of 2230271280 in words is "two billion, two hundred thirty million, two hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 587 720 1080 1174 1759 1761 2160 2348 2935 3518 3522 4696 5277 5283 5870 7036 7044 8795 8805 9392 10554 10566 11740 14072 14088 15831 15849 17590 17610 21108 21132 23480 26385 26415 28144 28176 31662 31698 35180 35220 42216 42264 46960 47493 52770 52830 63324 63396 70360 70440 79155 79245 84432 84528 94986 105540 105660 126648 126792 140720 140880 158310 158490 189972 211080 211320 237465 253296 253584 316620 316980 379944 422160 422640 474930 633240 633960 759888 949860 1032533 1266480 1267920 1899720 2065066 3097599 3799440 4130132 5162665 6195198 8260264 9292797 10325330 12390396 15487995 16520528 18585594 20650660 24780792 27878391 30975990 37171188 41301320 46463985 49561584 55756782 61951980 74342376 82602640 92927970 111513564 123903960 139391955 148684752 185855940 223027128 247807920 278783910 371711880 446054256 557567820 743423760 1115135640 2230271280