Search a number
-
+
643220190 = 23455314983
BaseRepresentation
bin100110010101101…
…100001011011110
31122211022222020000
4212111230023132
52304131021230
6143454235130
721640165344
oct4625541336
91584288200
10643220190
11300098938
1215b4b5aa6
13a334c082
14615d7994
153b708b60
hex2656c2de

643220190 has 80 divisors (see below), whose sum is σ = 1762298208. Its totient is φ = 168277824.

The previous prime is 643220159. The next prime is 643220233. The reversal of 643220190 is 91022346.

643220190 is a `hidden beast` number, since 643 + 2 + 2 + 0 + 19 + 0 = 666.

It is a super-2 number, since 2×6432201902 = 827464425647272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35439 + ... + 50421.

Almost surely, 2643220190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643220190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881149104).

643220190 is an abundant number, since it is smaller than the sum of its proper divisors (1119078018).

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

643220190 is a wasteful number, since it uses less digits than its factorization.

643220190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15055 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 643220190 is about 25361.7860175501. The cubic root of 643220190 is about 863.2168105319.

The spelling of 643220190 in words is "six hundred forty-three million, two hundred twenty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 8586 14310 14983 21465 29966 42930 44949 74915 89898 134847 149830 224745 269694 404541 449490 674235 794099 809082 1213623 1348470 1588198 2022705 2382297 2427246 3970495 4045410 4764594 6068115 7146891 7940990 11911485 12136230 14293782 21440673 23822970 35734455 42881346 64322019 71468910 107203365 128644038 214406730 321610095 643220190