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199880688 = 2437653911
BaseRepresentation
bin10111110100111…
…10111111110000
3111221002222202110
423322132333300
5402132140223
631500045320
74644646350
oct1372367760
9457088673
10199880688
11a2911357
1256b33840
1332544bc7
141c790b60
1512833d93
hexbe9eff0

199880688 has 80 divisors (see below), whose sum is σ = 591676416. Its totient is φ = 56958720.

The previous prime is 199880687. The next prime is 199880689. The reversal of 199880688 is 886088991.

It is an interprime number because it is at equal distance from previous prime (199880687) and next prime (199880689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199880687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218953 + ... + 219863.

Almost surely, 2199880688 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 199880688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295838208).

199880688 is an abundant number, since it is smaller than the sum of its proper divisors (391795728).

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

199880688 is a wasteful number, since it uses less digits than its factorization.

199880688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).

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

The square root of 199880688 is about 14137.9166782097. The cubic root of 199880688 is about 584.6872343754.

The spelling of 199880688 in words is "one hundred ninety-nine million, eight hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 653 911 1306 1822 1959 2612 2733 3644 3918 4571 5224 5466 6377 7288 7836 9142 10448 10932 12754 13713 14576 15672 18284 19131 21864 25508 27426 31344 36568 38262 43728 51016 54852 73136 76524 102032 109704 153048 219408 306096 594883 1189766 1784649 2379532 3569298 4164181 4759064 7138596 8328362 9518128 12492543 14277192 16656724 24985086 28554384 33313448 49970172 66626896 99940344 199880688