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198880968 = 2331113167347
BaseRepresentation
bin10111101101010…
…10111011001000
3111212020012101210
423312222323020
5401403142333
631422413120
74633313616
oct1366527310
9455205353
10198880968
11a2299240
12567311a0
1332284b60
141c5b06b6
15126d7a63
hexbdaaec8

198880968 has 128 divisors (see below), whose sum is σ = 589317120. Its totient is φ = 55138560.

The previous prime is 198880951. The next prime is 198880987. The reversal of 198880968 is 869088891.

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, 572971 + ... + 573317.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2198880968 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 198880968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294658560).

198880968 is an abundant number, since it is smaller than the sum of its proper divisors (390436152).

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

198880968 is a wasteful number, since it uses less digits than its factorization.

198880968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The square root of 198880968 is about 14102.5163712013. The cubic root of 198880968 is about 583.7108172952.

The spelling of 198880968 in words is "one hundred ninety-eight million, eight hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 167 264 286 312 334 347 429 501 572 668 694 858 1002 1041 1144 1336 1388 1716 1837 2004 2082 2171 2776 3432 3674 3817 4008 4164 4342 4511 5511 6513 7348 7634 8328 8684 9022 11022 11451 13026 13533 14696 15268 17368 18044 22044 22902 23881 26052 27066 30536 36088 44088 45804 47762 49621 52104 54132 57949 71643 91608 95524 99242 108264 115898 143286 148863 173847 191048 198484 231796 286572 297726 347694 396968 463592 573144 595452 637439 695388 753337 1190904 1274878 1390776 1506674 1912317 2260011 2549756 3013348 3824634 4520022 5099512 6026696 7649268 8286707 9040044 15298536 16573414 18080088 24860121 33146828 49720242 66293656 99440484 198880968