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228738816 = 28353677
BaseRepresentation
bin11011010001001…
…00011100000000
3120221102010200000
431220210130000
5432024120231
634410400000
75445151005
oct1550443400
9527363600
10228738816
11108131949
1264730000
133850a217
14225438ac
15151346e6
hexda24700

228738816 has 108 divisors (see below), whose sum is σ = 684122712. Its totient is φ = 76225536.

The previous prime is 228738779. The next prime is 228738823. The reversal of 228738816 is 618837822.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60370 + ... + 64046.

Almost surely, 2228738816 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 228738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342061356).

228738816 is an abundant number, since it is smaller than the sum of its proper divisors (455383896).

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

228738816 is an frugal number, since it uses more digits than its factorization.

228738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3682 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 228738816 is about 15124.1137260998. The cubic root of 228738816 is about 611.5706330913.

The spelling of 228738816 in words is "two hundred twenty-eight million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3677 3888 5184 6912 7354 7776 10368 11031 14708 15552 20736 22062 29416 31104 33093 44124 58832 62208 66186 88248 99279 117664 132372 176496 198558 235328 264744 297837 352992 397116 470656 529488 595674 705984 794232 893511 941312 1058976 1191348 1411968 1588464 1787022 2117952 2382696 2823936 3176928 3574044 4235904 4765392 6353856 7148088 8471808 9530784 12707712 14296176 19061568 25415424 28592352 38123136 57184704 76246272 114369408 228738816