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194090000 = 2454131493
BaseRepresentation
bin10111001000110…
…01010000010000
3111112012210102112
423210121100100
5344141340000
631132004452
74544511026
oct1344312020
9445183375
10194090000
119a616765
1255000728
1331298270
141bac4716
151208d235
hexb919410

194090000 has 100 divisors (see below), whose sum is σ = 506397276. Its totient is φ = 71616000.

The previous prime is 194089979. The next prime is 194090041. The reversal of 194090000 is 90491.

It can be written as a sum of positive squares in 10 ways, for example, as 146700544 + 47389456 = 12112^2 + 6884^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129254 + ... + 130746.

Almost surely, 2194090000 is an apocalyptic number.

194090000 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 194090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253198638).

194090000 is an abundant number, since it is smaller than the sum of its proper divisors (312307276).

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

194090000 is a wasteful number, since it uses less digits than its factorization.

194090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 194090000 is about 13931.6187142772. The cubic root of 194090000 is about 578.9855433723.

The spelling of 194090000 in words is "one hundred ninety-four million, 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 1493 1625 2000 2500 2600 2986 3250 5000 5200 5972 6500 7465 8125 10000 11944 13000 14930 16250 19409 23888 26000 29860 32500 37325 38818 59720 65000 74650 77636 97045 119440 130000 149300 155272 186625 194090 298600 310544 373250 388180 485225 597200 746500 776360 933125 970450 1493000 1552720 1866250 1940900 2426125 2986000 3732500 3881800 4852250 7465000 7763600 9704500 12130625 14930000 19409000 24261250 38818000 48522500 97045000 194090000