Search a number
-
+
212398767540 = 22335393331051
BaseRepresentation
bin1100010111001111110…
…0111111110110110100
3202022020102202100002000
43011303330333312310
511434443041030130
6241324042415300
721226303510221
oct3056374776664
9668212670060
10212398767540
1182094626823
12351b7b01530
131704bc8330b
14a3cca62948
1557d1c13260
hex3173f3fdb4

212398767540 has 48 divisors (see below), whose sum is σ = 660796167360. Its totient is φ = 56639671200.

The previous prime is 212398767509. The next prime is 212398767551. The reversal of 212398767540 is 45767893212.

It is a happy number.

212398767540 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 98 + 7 + 6 + 7 + 540 = 666.

It is a super-2 number, since 2×2123987675402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196664986 + ... + 196666065.

It is an arithmetic number, because the mean of its divisors is an integer number (13766586820).

It is a 1-persistent number, because it is pandigital, but 2⋅212398767540 = 424797535080 is not.

Almost surely, 2212398767540 is an apocalyptic number.

212398767540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212398767540 is an abundant number, since it is smaller than the sum of its proper divisors (448397399820).

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

212398767540 is a wasteful number, since it uses less digits than its factorization.

212398767540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393331069 (or 393331061 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 212398767540 in words is "two hundred twelve billion, three hundred ninety-eight million, seven hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 393331051 786662102 1179993153 1573324204 1966655255 2359986306 3539979459 3933310510 4719972612 5899965765 7079958918 7866621020 10619938377 11799931530 14159917836 17699897295 21239876754 23599863060 35399794590 42479753508 53099691885 70799589180 106199383770 212398767540