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194940900 = 2232527112997
BaseRepresentation
bin10111001111010…
…00111111100100
3111120211000122100
423213220333210
5344401102100
631202132100
74554653550
oct1347507744
9446730570
10194940900
11a0047a90
1255351030
133150565b
141bc66860
15121aa400
hexb9e8fe4

194940900 has 432 divisors, whose sum is σ = 796199040. Its totient is φ = 38707200.

The previous prime is 194940899. The next prime is 194940917. The reversal of 194940900 is 9049491.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2009652 + ... + 2009748.

Almost surely, 2194940900 is an apocalyptic number.

194940900 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 194940900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398099520).

194940900 is an abundant number, since it is smaller than the sum of its proper divisors (601258140).

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

194940900 is a wasteful number, since it uses less digits than its factorization.

194940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 194940900 is about 13962.1237639551. The cubic root of 194940900 is about 579.8304101875.

It can be divided in two parts, 1949 and 40900, that added together give a square (42849 = 2072).

The spelling of 194940900 in words is "one hundred ninety-four million, nine hundred forty thousand, nine hundred".