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228087840 = 25353171499
BaseRepresentation
bin11011001100001…
…01100000100000
3120220012001200210
431212011200200
5431342302330
634344414120
75436500061
oct1546054040
9526161623
10228087840
11107827852
1264477340
133833cb26
1422414568
15150568b0
hexd985820

228087840 has 96 divisors (see below), whose sum is σ = 721224000. Its totient is φ = 60591104.

The previous prime is 228087817. The next prime is 228087857. The reversal of 228087840 is 48780822.

It is a tau number, because it is divible by the number of its divisors (96).

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, 151411 + ... + 152909.

It is an arithmetic number, because the mean of its divisors is an integer number (7512750).

Almost surely, 2228087840 is an apocalyptic number.

228087840 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 228087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360612000).

228087840 is an abundant number, since it is smaller than the sum of its proper divisors (493136160).

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

228087840 is a wasteful number, since it uses less digits than its factorization.

228087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 228087840 is about 15102.5772635004. The cubic root of 228087840 is about 610.9899182506.

The spelling of 228087840 in words is "two hundred twenty-eight million, eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 317 480 634 951 1268 1499 1585 1902 2536 2998 3170 3804 4497 4755 5072 5996 6340 7495 7608 8994 9510 10144 11992 12680 14990 15216 17988 19020 22485 23984 25360 29980 30432 35976 38040 44970 47968 50720 59960 71952 76080 89940 119920 143904 152160 179880 239840 359760 475183 719520 950366 1425549 1900732 2375915 2851098 3801464 4751830 5702196 7127745 7602928 9503660 11404392 14255490 15205856 19007320 22808784 28510980 38014640 45617568 57021960 76029280 114043920 228087840