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189220230144 = 21034112371127
BaseRepresentation
bin1011000000111001100…
…1111001010000000000
3200002102002020122020000
42300032121321100000
511100010334331034
6222532050120000
716446024263361
oct2601631712000
9602362218200
10189220230144
117327a9835a0
1230809580000
1314ac6c12c2a
14923057bb68
154dc6dd8599
hex2c0e679400

189220230144 has 880 divisors, whose sum is σ = 657412816896. Its totient is φ = 53648179200.

The previous prime is 189220230137. The next prime is 189220230163. The reversal of 189220230144 is 441032022981.

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

It is a junction number, because it is equal to n+sod(n) for n = 189220230099 and 189220230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1489923009 + ... + 1489923135.

Almost surely, 2189220230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189220230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328706408448).

189220230144 is an abundant number, since it is smaller than the sum of its proper divisors (468192586752).

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

189220230144 is a wasteful number, since it uses less digits than its factorization.

189220230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 189220230144 in words is "one hundred eighty-nine billion, two hundred twenty million, two hundred thirty thousand, one hundred forty-four".