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228100356 = 22321117311093
BaseRepresentation
bin11011001100010…
…00100100000100
3120220012200212100
431212020210010
5431343202411
634344552100
75436551421
oct1546104404
9526180770
10228100356
111078361a0
1264482630
1338345733
1422418d48
151505a456
hexd988904

228100356 has 144 divisors (see below), whose sum is σ = 688117248. Its totient is φ = 62899200.

The previous prime is 228100349. The next prime is 228100357. The reversal of 228100356 is 653001822.

It is not an unprimeable number, because it can be changed into a prime (228100357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208146 + ... + 209238.

It is an arithmetic number, because the mean of its divisors is an integer number (4778592).

Almost surely, 2228100356 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 228100356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344058624).

228100356 is an abundant number, since it is smaller than the sum of its proper divisors (460016892).

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

228100356 is a wasteful number, since it uses less digits than its factorization.

228100356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 228100356 is about 15102.9916241783. The cubic root of 228100356 is about 611.0010937842.

The spelling of 228100356 in words is "two hundred twenty-eight million, one hundred thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 124 132 153 186 187 198 204 279 306 341 372 374 396 527 558 561 612 682 748 1023 1054 1093 1116 1122 1364 1581 1683 2046 2108 2186 2244 3069 3162 3279 3366 4092 4372 4743 5797 6138 6324 6558 6732 9486 9837 11594 12023 12276 13116 17391 18581 18972 19674 23188 24046 33883 34782 36069 37162 39348 48092 52173 55743 67766 69564 72138 74324 101649 104346 108207 111486 135532 144276 167229 203298 204391 208692 216414 222972 304947 334458 372713 406596 408782 432828 576011 609894 613173 668916 745426 817564 1118139 1152022 1219788 1226346 1490852 1728033 1839519 2236278 2304044 2452692 3354417 3456066 3679038 4472556 5184099 6336121 6708834 6912132 7358076 10368198 12672242 13417668 19008363 20736396 25344484 38016726 57025089 76033452 114050178 228100356