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200698992 = 24331322749
BaseRepresentation
bin10111111011001…
…10110001110000
3111222122120021000
423331212301300
5402334331432
631525402000
74654625154
oct1375466160
9458576230
10200698992
11a332013a
1257269300
1332770500
141c925064
151294657c
hexbf66c70

200698992 has 120 divisors (see below), whose sum is σ = 624030000. Its totient is φ = 61731072.

The previous prime is 200698987. The next prime is 200699021. The reversal of 200698992 is 299896002.

It is a super-3 number, since 3×2006989923 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71634 + ... + 74382.

It is an arithmetic number, because the mean of its divisors is an integer number (5200250).

Almost surely, 2200698992 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 200698992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312015000).

200698992 is an abundant number, since it is smaller than the sum of its proper divisors (423331008).

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

200698992 is a wasteful number, since it uses less digits than its factorization.

200698992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2767 counting only the distinct ones).

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

The square root of 200698992 is about 14166.8271677183. The cubic root of 200698992 is about 585.4840438239.

The spelling of 200698992 in words is "two hundred million, six hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2749 2808 3042 4056 4563 5498 5616 6084 8112 8247 9126 10996 12168 16494 18252 21992 24336 24741 32988 35737 36504 43984 49482 65976 71474 73008 74223 98964 107211 131952 142948 148446 197928 214422 285896 296892 321633 395856 428844 464581 571792 593784 643266 857688 929162 964899 1187568 1286532 1393743 1715376 1858324 1929798 2573064 2787486 3716648 3859596 4181229 5146128 5574972 7433296 7719192 8362458 11149944 12543687 15438384 16724916 22299888 25087374 33449832 50174748 66899664 100349496 200698992