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225486840 = 23354389491
BaseRepresentation
bin11010111000010…
…10011111111000
3120201021220210110
431130022133320
5430211034330
634212544320
75405415015
oct1534123770
9521256713
10225486840
11106310667
12636220a0
133793bc87
1421d3870c
1514be0db0
hexd70a7f8

225486840 has 128 divisors (see below), whose sum is σ = 701395200. Its totient is φ = 57953280.

The previous prime is 225486817. The next prime is 225486887. The reversal of 225486840 is 48684522.

225486840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2254868403 (a number of 26 digits) contains 333 as substring.

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, 458995 + ... + 459485.

It is an arithmetic number, because the mean of its divisors is an integer number (5479650).

Almost surely, 2225486840 is an apocalyptic number.

225486840 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 225486840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350697600).

225486840 is an abundant number, since it is smaller than the sum of its proper divisors (475908360).

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

225486840 is a wasteful number, since it uses less digits than its factorization.

225486840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 225486840 is about 15016.2192312180. The cubic root of 225486840 is about 608.6585589848.

The spelling of 225486840 in words is "two hundred twenty-five million, four hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 89 120 129 172 178 215 258 267 344 356 430 445 491 516 534 645 712 860 890 982 1032 1068 1290 1335 1473 1720 1780 1964 2136 2455 2580 2670 2946 3560 3827 3928 4910 5160 5340 5892 7365 7654 9820 10680 11481 11784 14730 15308 19135 19640 21113 22962 29460 30616 38270 42226 43699 45924 57405 58920 63339 76540 84452 87398 91848 105565 114810 126678 131097 153080 168904 174796 211130 218495 229620 253356 262194 316695 349592 422260 436990 459240 506712 524388 633390 655485 844520 873980 1048776 1266780 1310970 1747960 1879057 2533560 2621940 3758114 5243880 5637171 7516228 9395285 11274342 15032456 18790570 22548684 28185855 37581140 45097368 56371710 75162280 112743420 225486840