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228862480 = 24571153701
BaseRepresentation
bin11011010010000…
…10101000010000
3120221122102022011
431221002220100
5432042044410
634413152304
75446204360
oct1551025020
9527572264
10228862480
11108206850
126478b694
13385515b2
14225769a0
151515b18a
hexda42a10

228862480 has 160 divisors (see below), whose sum is σ = 676885248. Its totient is φ = 69888000.

The previous prime is 228862477. The next prime is 228862499. The reversal of 228862480 is 84268822.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326130 + ... + 326830.

Almost surely, 2228862480 is an apocalyptic number.

228862480 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 228862480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338442624).

228862480 is an abundant number, since it is smaller than the sum of its proper divisors (448022768).

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

228862480 is a wasteful number, since it uses less digits than its factorization.

228862480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 228862480 is about 15128.2014793564. The cubic root of 228862480 is about 611.6808252119.

The spelling of 228862480 in words is "two hundred twenty-eight million, eight hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 53 55 56 70 77 80 88 106 110 112 140 154 176 212 220 265 280 308 371 385 424 440 530 560 583 616 701 742 770 848 880 1060 1166 1232 1402 1484 1540 1855 2120 2332 2804 2915 2968 3080 3505 3710 4081 4240 4664 4907 5608 5830 5936 6160 7010 7420 7711 8162 9328 9814 11216 11660 14020 14840 15422 16324 19628 20405 23320 24535 28040 29680 30844 32648 37153 38555 39256 40810 46640 49070 53977 56080 61688 65296 74306 77110 78512 81620 98140 107954 123376 148612 154220 163240 185765 196280 215908 260071 269885 297224 308440 326480 371530 392560 408683 431816 520142 539770 594448 616880 743060 817366 863632 1040284 1079540 1300355 1486120 1634732 2043415 2080568 2159080 2600710 2860781 2972240 3269464 4086830 4161136 4318160 5201420 5721562 6538928 8173660 10402840 11443124 14303905 16347320 20805680 22886248 28607810 32694640 45772496 57215620 114431240 228862480