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193994900 = 225211315689
BaseRepresentation
bin10111001000000…
…10000010010100
3111112000221222022
423210002002110
5344130314100
631125552312
74543633541
oct1344020224
9445027868
10193994900
119a561270
1254b75698
1331263ba8
141ba9bbc8
151206ee85
hexb902094

193994900 has 72 divisors (see below), whose sum is σ = 474136320. Its totient is φ = 68256000.

The previous prime is 193994863. The next prime is 193994909. The reversal of 193994900 is 9499391.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193994909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31256 + ... + 36944.

Almost surely, 2193994900 is an apocalyptic number.

193994900 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 193994900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237068160).

193994900 is an abundant number, since it is smaller than the sum of its proper divisors (280141420).

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

193994900 is a wasteful number, since it uses less digits than its factorization.

193994900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 44.

The square root of 193994900 is about 13928.2051966504. The cubic root of 193994900 is about 578.8909643615.

The spelling of 193994900 in words is "one hundred ninety-three million, nine hundred ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 5689 6820 8525 11378 17050 22756 28445 34100 56890 62579 113780 125158 142225 176359 250316 284450 312895 352718 568900 625790 705436 881795 1251580 1564475 1763590 1939949 3128950 3527180 3879898 4408975 6257900 7759796 8817950 9699745 17635900 19399490 38798980 48498725 96997450 193994900