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228200490 = 23457167241
BaseRepresentation
bin11011001101000…
…01000000101010
3120220101210020000
431212201000222
5431404403430
634351043430
75440446360
oct1546410052
9526353200
10228200490
111078a4451
1264510576
133837c19b
1422443630
1515079e60
hexd9a102a

228200490 has 160 divisors (see below), whose sum is σ = 708390144. Its totient is φ = 51632640.

The previous prime is 228200473. The next prime is 228200521. The reversal of 228200490 is 94002822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946770 + ... + 947010.

Almost surely, 2228200490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228200490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354195072).

228200490 is an abundant number, since it is smaller than the sum of its proper divisors (480189654).

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

228200490 is a wasteful number, since it uses less digits than its factorization.

228200490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 228200490 is about 15106.3062990262. The cubic root of 228200490 is about 611.0904886950.

The spelling of 228200490 in words is "two hundred twenty-eight million, two hundred thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 167 189 210 241 270 315 334 378 405 482 501 567 630 723 810 835 945 1002 1134 1169 1205 1446 1503 1670 1687 1890 2169 2338 2410 2505 2835 3006 3374 3507 3615 4338 4509 5010 5061 5670 5845 6507 7014 7230 7515 8435 9018 10122 10521 10845 11690 13014 13527 15030 15183 16870 17535 19521 21042 21690 22545 25305 27054 30366 31563 32535 35070 39042 40247 45090 45549 50610 52605 63126 65070 67635 75915 80494 91098 94689 97605 105210 120741 135270 136647 151830 157815 189378 195210 201235 227745 241482 273294 281729 315630 362223 402470 455490 473445 563458 603705 683235 724446 845187 946890 1086669 1207410 1366470 1408645 1690374 1811115 2173338 2535561 2817290 3260007 3622230 4225935 5071122 5433345 6520014 7606683 8451870 10866690 12677805 15213366 16300035 22820049 25355610 32600070 38033415 45640098 76066830 114100245 228200490