Search a number
-
+
1813226724 = 22324721512
BaseRepresentation
bin110110000010011…
…1010010011100100
311200100220110110100
41230010322103210
512203141223344
6455531424100
762635113201
oct15404722344
94610813410
101813226724
11850579091
124272b5030
1322b87152a
14132b5aca8
15a92bc569
hex6c13a4e4

1813226724 has 81 divisors (see below), whose sum is σ = 4714247811. Its totient is φ = 587631600.

The previous prime is 1813226713. The next prime is 1813226731. The reversal of 1813226724 is 4276223181.

It is a happy number.

The square root of 1813226724 is 42582.

It is a perfect power (a square), and thus also a powerful number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12008049 + ... + 12008199.

Almost surely, 21813226724 is an apocalyptic number.

1813226724 is the 42582-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813226724

1813226724 is an abundant number, since it is smaller than the sum of its proper divisors (2901021087).

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

1813226724 is a wasteful number, since it uses less digits than its factorization.

1813226724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The cubic root of 1813226724 is about 1219.4126716987.

Multiplying 1813226724 by its sum of digits (36), we get a square (65276162064 = 2554922).

1813226724 divided by its sum of digits (36) gives a square (50367409 = 70972).

The spelling of 1813226724 in words is "one billion, eight hundred thirteen million, two hundred twenty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 151 188 282 302 423 453 564 604 846 906 1359 1692 1812 2209 2718 4418 5436 6627 7097 8836 13254 14194 19881 21291 22801 26508 28388 39762 42582 45602 63873 68403 79524 85164 91204 127746 136806 205209 255492 273612 333559 410418 667118 820836 1000677 1071647 1334236 2001354 2143294 3002031 3214941 4002708 4286588 6004062 6429882 9644823 12008124 12859764 19289646 38579292 50367409 100734818 151102227 201469636 302204454 453306681 604408908 906613362 1813226724