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199804480 = 2654197157
BaseRepresentation
bin10111110100011…
…00011001000000
3111220222010012221
423322030121000
5402122220410
631454300424
74644211231
oct1372143100
9456863187
10199804480
11a286a077
1256ab7714
1332519305
141c771088
151281b4da
hexbe8c640

199804480 has 112 divisors (see below), whose sum is σ = 495549936. Its totient is φ = 76677120.

The previous prime is 199804469. The next prime is 199804529. The reversal of 199804480 is 84408991.

It can be written as a sum of positive squares in 8 ways, for example, as 43454464 + 156350016 = 6592^2 + 12504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272562 + ... + 1272718.

It is an arithmetic number, because the mean of its divisors is an integer number (4424553).

Almost surely, 2199804480 is an apocalyptic number.

199804480 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 199804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247774968).

199804480 is an abundant number, since it is smaller than the sum of its proper divisors (295745456).

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

199804480 is a wasteful number, since it uses less digits than its factorization.

199804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 199804480 is about 14135.2212575538. The cubic root of 199804480 is about 584.6129175263.

The spelling of 199804480 in words is "one hundred ninety-nine million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 97 157 160 164 194 205 314 320 328 388 410 485 628 656 776 785 820 970 1256 1312 1552 1570 1640 1940 2512 2624 3104 3140 3280 3880 3977 5024 6208 6280 6437 6560 7760 7954 10048 12560 12874 13120 15229 15520 15908 19885 25120 25748 30458 31040 31816 32185 39770 50240 51496 60916 63632 64370 76145 79540 102992 121832 127264 128740 152290 159080 205984 243664 254528 257480 304580 318160 411968 487328 514960 609160 624389 636320 974656 1029920 1218320 1248778 1272640 2059840 2436640 2497556 3121945 4873280 4995112 6243890 9990224 12487780 19980448 24975560 39960896 49951120 99902240 199804480