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188890000 = 2454131453
BaseRepresentation
bin10110100001000…
…11101110010000
3111011102121100221
423100203232100
5341323440000
630424322424
74452352465
oct1320435620
9434377327
10188890000
1197694942
1253313414
1330197440
141b12d66c
15118b261a
hexb423b90

188890000 has 100 divisors (see below), whose sum is σ = 492839116. Its totient is φ = 69696000.

The previous prime is 188889959. The next prime is 188890003. The reversal of 188890000 is 98881.

It can be written as a sum of positive squares in 10 ways, for example, as 125081856 + 63808144 = 11184^2 + 7988^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (188890003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129274 + ... + 130726.

Almost surely, 2188890000 is an apocalyptic number.

188890000 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 188890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246419558).

188890000 is an abundant number, since it is smaller than the sum of its proper divisors (303949116).

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

188890000 is a wasteful number, since it uses less digits than its factorization.

188890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 188890000 is about 13743.7258412703. The cubic root of 188890000 is about 573.7679986063.

The spelling of 188890000 in words is "one hundred eighty-eight million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1453 1625 2000 2500 2600 2906 3250 5000 5200 5812 6500 7265 8125 10000 11624 13000 14530 16250 18889 23248 26000 29060 32500 36325 37778 58120 65000 72650 75556 94445 116240 130000 145300 151112 181625 188890 290600 302224 363250 377780 472225 581200 726500 755560 908125 944450 1453000 1511120 1816250 1888900 2361125 2906000 3632500 3777800 4722250 7265000 7555600 9444500 11805625 14530000 18889000 23611250 37778000 47222500 94445000 188890000