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189970200 = 233252715077
BaseRepresentation
bin10110101001010…
…11011100011000
3111020110111010100
423110223130120
5342113021300
630503415400
74464501660
oct1324533430
9436414110
10189970200
1198262472
1253754560
1330485004
141b3311a0
1511a27700
hexb52b718

189970200 has 144 divisors (see below), whose sum is σ = 729172080. Its totient is φ = 43418880.

The previous prime is 189970181. The next prime is 189970219. The reversal of 189970200 is 2079981.

It is a happy number.

189970200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189970181) and next prime (189970219).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5062 + ... + 20138.

It is an arithmetic number, because the mean of its divisors is an integer number (5063695).

Almost surely, 2189970200 is an apocalyptic number.

189970200 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 189970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364586040).

189970200 is an abundant number, since it is smaller than the sum of its proper divisors (539201880).

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

189970200 is a wasteful number, since it uses less digits than its factorization.

189970200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15106 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 189970200 is about 13782.9677500892. The cubic root of 189970200 is about 574.8596506857.

The spelling of 189970200 in words is "one hundred eighty-nine million, nine hundred seventy thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 15077 30154 45231 60308 75385 90462 105539 120616 135693 150770 180924 211078 226155 271386 301540 316617 361848 376925 422156 452310 527695 542772 603080 633234 678465 753850 844312 904620 949851 1055390 1085544 1130775 1266468 1356930 1507700 1583085 1809240 1899702 2110780 2261550 2532936 2638475 2713860 3015400 3166170 3392325 3799404 4221560 4523100 4749255 5276950 5427720 6332340 6784650 7598808 7915425 9046200 9498510 10553900 12664680 13569300 15830850 18997020 21107800 23746275 27138600 31661700 37994040 47492550 63323400 94985100 189970200