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198992880 = 24325313883
BaseRepresentation
bin10111101110001…
…10001111110000
3111212102212220200
423313012033300
5401420233010
631425035200
74634261112
oct1367061760
9455385820
10198992880
11a2365329
1256785b00
13322c3a88
141c5dd3b2
151270acc0
hexbdc63f0

198992880 has 120 divisors (see below), whose sum is σ = 671178768. Its totient is φ = 52835328.

The previous prime is 198992879. The next prime is 198992891. The reversal of 198992880 is 88299891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 224919 + ... + 225801.

Almost surely, 2198992880 is an apocalyptic number.

198992880 is a gapful number since it is divisible by the number (10) 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 198992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335589384).

198992880 is an abundant number, since it is smaller than the sum of its proper divisors (472185888).

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

198992880 is a wasteful number, since it uses less digits than its factorization.

198992880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 198992880 is about 14106.4836156996. The cubic root of 198992880 is about 583.8202831005.

The spelling of 198992880 in words is "one hundred ninety-eight million, nine hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 313 360 626 720 883 939 1252 1565 1766 1878 2504 2649 2817 3130 3532 3756 4415 4695 5008 5298 5634 6260 7064 7512 7947 8830 9390 10596 11268 12520 13245 14085 14128 15024 15894 17660 18780 21192 22536 25040 26490 28170 31788 35320 37560 39735 42384 45072 52980 56340 63576 70640 75120 79470 105960 112680 127152 158940 211920 225360 276379 317880 552758 635760 829137 1105516 1381895 1658274 2211032 2487411 2763790 3316548 4145685 4422064 4974822 5527580 6633096 8291370 9949644 11055160 12437055 13266192 16582740 19899288 22110320 24874110 33165480 39798576 49748220 66330960 99496440 198992880