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271228020 = 223573311951
BaseRepresentation
bin10000001010101…
…001110001110100
3200220100210220020
4100022221301310
51023413244040
642525205140
76502254150
oct2012516164
9626323806
10271228020
1112a112698
1276a007b0
1344265a6b
1428044060
1518c28cd0
hex102a9c74

271228020 has 96 divisors (see below), whose sum is σ = 870998016. Its totient is φ = 61776000.

The previous prime is 271228003. The next prime is 271228057. The reversal of 271228020 is 20822172.

It is a happy number.

It is a congruent number.

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, 138045 + ... + 139995.

It is an arithmetic number, because the mean of its divisors is an integer number (9072896).

Almost surely, 2271228020 is an apocalyptic number.

271228020 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 271228020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435499008).

271228020 is an abundant number, since it is smaller than the sum of its proper divisors (599769996).

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

271228020 is a wasteful number, since it uses less digits than its factorization.

271228020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 271228020 is about 16469.0017912441. The cubic root of 271228020 is about 647.3088099474.

The spelling of 271228020 in words is "two hundred seventy-one million, two hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 331 420 662 993 1324 1655 1951 1986 2317 3310 3902 3972 4634 4965 5853 6620 6951 7804 9268 9755 9930 11585 11706 13657 13902 19510 19860 23170 23412 27314 27804 29265 34755 39020 40971 46340 54628 58530 68285 69510 81942 117060 136570 139020 163884 204855 273140 409710 645781 819420 1291562 1937343 2583124 3228905 3874686 4520467 6457810 7749372 9040934 9686715 12915620 13561401 18081868 19373430 22602335 27122802 38746860 45204670 54245604 67807005 90409340 135614010 271228020