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199923282 = 233132191153
BaseRepresentation
bin10111110101010…
…01011001010010
3111221012011012000
423322221121102
5402140021112
631501014430
74645214466
oct1372513122
9457164160
10199923282
11a2940359
1256b54416
133255b400
141c7a24a6
15128417dc
hexbea9652

199923282 has 96 divisors (see below), whose sum is σ = 506836800. Its totient is φ = 58226688.

The previous prime is 199923277. The next prime is 199923287. The reversal of 199923282 is 282329991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199923277) and next prime (199923287).

It is not an unprimeable number, because it can be changed into a prime (199923287) 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, 172818 + ... + 173970.

It is an arithmetic number, because the mean of its divisors is an integer number (5279550).

Almost surely, 2199923282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199923282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253418400).

199923282 is an abundant number, since it is smaller than the sum of its proper divisors (306913518).

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

199923282 is a wasteful number, since it uses less digits than its factorization.

199923282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1190 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 199923282 is about 14139.4229726676. The cubic root of 199923282 is about 584.7287631486.

It can be divided in two parts, 1999 and 23282, that added together give a square (25281 = 1592).

The spelling of 199923282 in words is "one hundred ninety-nine million, nine hundred twenty-three thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 169 171 234 247 338 342 351 494 507 513 702 741 1014 1026 1153 1482 1521 2223 2306 3042 3211 3459 4446 4563 6422 6669 6918 9126 9633 10377 13338 14989 19266 20754 21907 28899 29978 31131 43814 44967 57798 62262 65721 86697 89934 131442 134901 173394 194857 197163 269802 284791 389714 394326 404703 569582 584571 591489 809406 854373 1169142 1182978 1708746 1753713 2563119 3507426 3702283 5126238 5261139 7404566 7689357 10522278 11106849 15378714 22213698 33320547 66641094 99961641 199923282