Search a number
-
+
354221363170452 = 223146947720087723
BaseRepresentation
bin101000010001010011001011…
…0100001100000110010010100
31201110012020020211122201222210
41100202212112201200302110
5332412030322432423302
63253211014152353420
7134416435410136161
oct12042462641406224
91643166224581883
10354221363170452
11a2958488a83548
123388a5819a5870
1312285c14b7233b
1463685967cd068
152ae419d18666c
hex1422996860c94

354221363170452 has 24 divisors (see below), whose sum is σ = 826517117666016. Its totient is φ = 118073701494688.

The previous prime is 354221363170399. The next prime is 354221363170453. The reversal of 354221363170452 is 254071363122453.

It is a happy number.

It is a super-3 number, since 3×3542213631704523 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354221363170453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7589863 + ... + 27677585.

It is an arithmetic number, because the mean of its divisors is an integer number (34438213236084).

Almost surely, 2354221363170452 is an apocalyptic number.

It is an amenable number.

354221363170452 is an abundant number, since it is smaller than the sum of its proper divisors (472295754495564).

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

354221363170452 is a wasteful number, since it uses less digits than its factorization.

354221363170452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21557207 (or 21557205 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 354221363170452 in words is "three hundred fifty-four trillion, two hundred twenty-one billion, three hundred sixty-three million, one hundred seventy thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 1469477 2938954 4408431 5877908 8816862 17633724 20087723 40175446 60263169 80350892 120526338 241052676 29518446930871 59036893861742 88555340792613 118073787723484 177110681585226 354221363170452