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200202048 = 2632503691
BaseRepresentation
bin10111110111011…
…01011101000000
3111221201022120200
423323231131000
5402222431143
631511005200
74650455304
oct1373553500
9457638520
10200202048
11a3010842
1257069800
1332628267
141c835d04
15128991d3
hexbeed740

200202048 has 84 divisors (see below), whose sum is σ = 575815968. Its totient is φ = 66504960.

The previous prime is 200202043. The next prime is 200202049. The reversal of 200202048 is 840202002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 200202048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289383 + ... + 290073.

It is an arithmetic number, because the mean of its divisors is an integer number (6854952).

Almost surely, 2200202048 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 200202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287907984).

200202048 is an abundant number, since it is smaller than the sum of its proper divisors (375613920).

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

200202048 is a wasteful number, since it uses less digits than its factorization.

200202048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 200202048 is about 14149.2772960318. The cubic root of 200202048 is about 585.0004120094. Note that the first 3 decimals are identical.

The spelling of 200202048 in words is "two hundred million, two hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 503 576 691 1006 1382 1509 2012 2073 2764 3018 4024 4146 4527 5528 6036 6219 8048 8292 9054 11056 12072 12438 16096 16584 18108 22112 24144 24876 32192 33168 36216 44224 48288 49752 66336 72432 96576 99504 132672 144864 199008 289728 347573 398016 695146 1042719 1390292 2085438 2780584 3128157 4170876 5561168 6256314 8341752 11122336 12512628 16683504 22244672 25025256 33367008 50050512 66734016 100101024 200202048