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189909900 = 223352371901
BaseRepresentation
bin10110101000111…
…00101110001100
3111020100102102000
423110130232030
5342104104100
630502232300
74464131115
oct1324345614
9436312360
10189909900
1198221134
1253725690
133046372b
141b31720c
1511a14900
hexb51cb8c

189909900 has 144 divisors (see below), whose sum is σ = 627355680. Its totient is φ = 49248000.

The previous prime is 189909899. The next prime is 189909901. The reversal of 189909900 is 9909981.

189909900 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 (189909899) and next prime (189909901).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (189909901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98950 + ... + 100850.

Almost surely, 2189909900 is an apocalyptic number.

189909900 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 189909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313677840).

189909900 is an abundant number, since it is smaller than the sum of its proper divisors (437445780).

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

189909900 is a wasteful number, since it uses less digits than its factorization.

189909900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 189909900 is about 13780.7800940295. The cubic root of 189909900 is about 574.7988206094.

The spelling of 189909900 in words is "one hundred eighty-nine million, nine hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 37 45 50 54 60 74 75 90 100 108 111 135 148 150 180 185 222 225 270 300 333 370 444 450 540 555 666 675 740 900 925 999 1110 1332 1350 1665 1850 1901 1998 2220 2700 2775 3330 3700 3802 3996 4995 5550 5703 6660 7604 8325 9505 9990 11100 11406 16650 17109 19010 19980 22812 24975 28515 33300 34218 38020 47525 49950 51327 57030 68436 70337 85545 95050 99900 102654 114060 140674 142575 171090 190100 205308 211011 256635 281348 285150 342180 351685 422022 427725 513270 570300 633033 703370 844044 855450 1026540 1055055 1266066 1283175 1406740 1710900 1758425 1899099 2110110 2532132 2566350 3165165 3516850 3798198 4220220 5132700 5275275 6330330 7033700 7596396 9495495 10550550 12660660 15825825 18990990 21101100 31651650 37981980 47477475 63303300 94954950 189909900