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228215040 = 2835103577
BaseRepresentation
bin11011001101001…
…00100100000000
3120220102112011220
431212210210000
5431410340130
634351235040
75440536654
oct1546444400
9526375156
10228215040
11107904379
1264518a80
13383859b1
1422448a64
151507e410
hexd9a4900

228215040 has 144 divisors (see below), whose sum is σ = 737213568. Its totient is φ = 60162048.

The previous prime is 228215017. The next prime is 228215041. The reversal of 228215040 is 40512822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 228215040.

It is not an unprimeable number, because it can be changed into a prime (228215041) 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, 395232 + ... + 395808.

Almost surely, 2228215040 is an apocalyptic number.

228215040 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 228215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368606784).

228215040 is an abundant number, since it is smaller than the sum of its proper divisors (508998528).

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

228215040 is a wasteful number, since it uses less digits than its factorization.

228215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 228215040 is about 15106.7878783016. The cubic root of 228215040 is about 611.1034760723.

Adding to 228215040 its reverse (40512822), we get a palindrome (268727862).

The spelling of 228215040 in words is "two hundred twenty-eight million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 256 309 320 384 412 480 515 577 618 640 768 824 960 1030 1154 1236 1280 1545 1648 1731 1920 2060 2308 2472 2885 3090 3296 3462 3840 4120 4616 4944 5770 6180 6592 6924 8240 8655 9232 9888 11540 12360 13184 13848 16480 17310 18464 19776 23080 24720 26368 27696 32960 34620 36928 39552 46160 49440 55392 59431 65920 69240 73856 79104 92320 98880 110784 118862 131840 138480 147712 178293 184640 197760 221568 237724 276960 297155 356586 369280 395520 443136 475448 553920 594310 713172 738560 891465 950896 1107840 1188620 1426344 1782930 1901792 2215680 2377240 2852688 3565860 3803584 4754480 5705376 7131720 7607168 9508960 11410752 14263440 15214336 19017920 22821504 28526880 38035840 45643008 57053760 76071680 114107520 228215040