Search a number
-
+
20355454422 = 23231102135729
BaseRepresentation
bin10010111101010001…
…111001010111010110
31221112121101020001100
4102331101321113112
5313141444020142
613203504010530
71320266336112
oct227521712726
957477336040
1020355454422
1186a613a206
123b41000a46
131bc52206b4
14db15b2742
157e2080b4c
hex4bd4795d6

20355454422 has 48 divisors (see below), whose sum is σ = 45572042880. Its totient is φ = 6559660800.

The previous prime is 20355454421. The next prime is 20355454439. The reversal of 20355454422 is 22445455302.

20355454422 is a `hidden beast` number, since 20 + 35 + 545 + 44 + 22 = 666.

It is a super-2 number, since 2×203554544222 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20355454421) 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, 551854 + ... + 587582.

It is an arithmetic number, because the mean of its divisors is an integer number (949417560).

Almost surely, 220355454422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20355454422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22786021440).

20355454422 is an abundant number, since it is smaller than the sum of its proper divisors (25216588458).

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

20355454422 is a wasteful number, since it uses less digits than its factorization.

20355454422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36789 (or 36786 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 20355454422 in words is "twenty billion, three hundred fifty-five million, four hundred fifty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 1021 2042 3063 6126 9189 18378 31651 35729 63302 71458 94953 107187 189906 214374 284859 321561 569718 643122 1107599 2215198 3322797 6645594 9968391 19936782 36479309 72958618 109437927 218875854 328313781 656627562 1130858579 2261717158 3392575737 6785151474 10177727211 20355454422