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228177136 = 241141103307
BaseRepresentation
bin11011001100110…
…11010011110000
3120220100121012001
431212123103300
5431403132021
634350343344
75440321315
oct1546332360
9526317161
10228177136
11107888950
12644bab54
1338371675
1422438d0c
1515073091
hexd99b4f0

228177136 has 80 divisors (see below), whose sum is σ = 500467968. Its totient is φ = 99878400.

The previous prime is 228177121. The next prime is 228177161. The reversal of 228177136 is 631771822.

It is a junction number, because it is equal to n+sod(n) for n = 228177095 and 228177104.

It is a congruent number.

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, 743095 + ... + 743401.

Almost surely, 2228177136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228177136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984).

228177136 is an abundant number, since it is smaller than the sum of its proper divisors (272290832).

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

228177136 is a wasteful number, since it uses less digits than its factorization.

228177136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 228177136 is about 15105.5332908176. The cubic root of 228177136 is about 611.0696416843.

The spelling of 228177136 in words is "two hundred twenty-eight million, one hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 103 164 176 206 307 328 412 451 614 656 824 902 1133 1228 1648 1804 2266 2456 3377 3608 4223 4532 4912 6754 7216 8446 9064 12587 13508 16892 18128 25174 27016 31621 33784 46453 50348 54032 63242 67568 92906 100696 126484 138457 185812 201392 252968 276914 347831 371624 505936 553828 695662 743248 1107656 1296461 1391324 2215312 2592922 2782648 5185844 5565296 10371688 14261071 20743376 28522142 57044284 114088568 228177136