Search a number
-
+
2226329856 = 28329832
BaseRepresentation
bin1000010010110011…
…0001100100000000
312202011020021102100
42010230301210000
514024420023411
61004525550400
7106112330412
oct20454614400
95664207370
102226329856
11a42783633
12521715400
1329631cc5a
141719729b2
15d06bd456
hex84b31900

2226329856 has 81 divisors (see below), whose sum is σ = 6425594539. Its totient is φ = 741355008.

The previous prime is 2226329771. The next prime is 2226329869. The reversal of 2226329856 is 6589236222.

The square root of 2226329856 is 47184.

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

2226329856 is a `hidden beast` number, since 2 + 2 + 2 + 632 + 9 + 8 + 5 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2264341 + ... + 2265323.

Almost surely, 22226329856 is an apocalyptic number.

2226329856 is the 47184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226329856

2226329856 is an abundant number, since it is smaller than the sum of its proper divisors (4199264683).

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

2226329856 is an frugal number, since it uses more digits than its factorization.

2226329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 988 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 2226329856 is about 1305.7594276191.

The spelling of 2226329856 in words is "two billion, two hundred twenty-six million, three hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 983 1152 1966 2304 2949 3932 5898 7864 8847 11796 15728 17694 23592 31456 35388 47184 62912 70776 94368 125824 141552 188736 251648 283104 377472 566208 754944 966289 1132416 1932578 2264832 2898867 3865156 5797734 7730312 8696601 11595468 15460624 17393202 23190936 30921248 34786404 46381872 61842496 69572808 92763744 123684992 139145616 185527488 247369984 278291232 371054976 556582464 742109952 1113164928 2226329856