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228592896 = 2837101421
BaseRepresentation
bin11011010000000…
…00110100000000
3120221010201111120
431220000310000
5432004433041
634403312240
75444002410
oct1550006400
9527121446
10228592896
11108042254
126467b680
133848898c
1422506640
1515106366
hexda00d00

228592896 has 144 divisors (see below), whose sum is σ = 703855488. Its totient is φ = 64512000.

The previous prime is 228592879. The next prime is 228592901. The reversal of 228592896 is 698295822.

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, 542766 + ... + 543186.

Almost surely, 2228592896 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 228592896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351927744).

228592896 is an abundant number, since it is smaller than the sum of its proper divisors (475262592).

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

228592896 is a wasteful number, since it uses less digits than its factorization.

228592896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 534 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 228592896 is about 15119.2888721659. The cubic root of 228592896 is about 611.4405584330.

The spelling of 228592896 in words is "two hundred twenty-eight million, five hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 421 448 606 672 707 768 808 842 896 1212 1263 1344 1414 1616 1684 1792 2121 2424 2526 2688 2828 2947 3232 3368 4242 4848 5052 5376 5656 5894 6464 6736 8484 8841 9696 10104 11312 11788 12928 13472 16968 17682 19392 20208 22624 23576 25856 26944 33936 35364 38784 40416 42521 45248 47152 53888 67872 70728 77568 80832 85042 90496 94304 107776 127563 135744 141456 161664 170084 180992 188608 255126 271488 282912 297647 323328 340168 377216 510252 542976 565824 595294 680336 754432 892941 1020504 1131648 1190588 1360672 1785882 2041008 2263296 2381176 2721344 3571764 4082016 4762352 5442688 7143528 8164032 9524704 10885376 14287056 16328064 19049408 28574112 32656128 38098816 57148224 76197632 114296448 228592896