Search a number
-
+
4170226356 = 2234127101347
BaseRepresentation
bin1111100010010000…
…1001101010110100
3101202122000110010000
43320210021222310
532020034220411
61525450231300
7205225224222
oct37044115264
911678013100
104170226356
11184aa9086a
12984725530
13515c82a7a
142b7bc5b12
1519619c956
hexf8909ab4

4170226356 has 60 divisors (see below), whose sum is σ = 10987744768. Its totient is φ = 1379116368.

The previous prime is 4170226351. The next prime is 4170226363. The reversal of 4170226356 is 6536220714.

4170226356 is a `hidden beast` number, since 4 + 17 + 0 + 2 + 2 + 635 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4170226356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170226351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9526 + ... + 91821.

Almost surely, 24170226356 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 4170226356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493872384).

4170226356 is an abundant number, since it is smaller than the sum of its proper divisors (6817518412).

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

4170226356 is a wasteful number, since it uses less digits than its factorization.

4170226356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101490 (or 101479 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4170226356 is about 64577.2897851869. The cubic root of 4170226356 is about 1609.6070895428.

The spelling of 4170226356 in words is "four billion, one hundred seventy million, two hundred twenty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3429 4572 6858 10287 13716 20574 41148 101347 202694 304041 405388 608082 912123 1216164 1824246 2736369 3648492 5472738 8209107 10945476 12871069 16418214 25742138 32836428 38613207 51484276 77226414 115839621 154452828 231679242 347518863 463358484 695037726 1042556589 1390075452 2085113178 4170226356