Search a number
-
+
2226426624 = 28321756843
BaseRepresentation
bin1000010010110100…
…1001001100000000
312202011102012011100
42010231021030000
514024431122444
61004532014400
7106113212502
oct20455111400
95664365140
102226426624
11a4283a304
12521761400
13296355006
14171999d72
15d06dbe69
hex84b49300

2226426624 has 108 divisors (see below), whose sum is σ = 6797064456. Its totient is φ = 698474496.

The previous prime is 2226426589. The next prime is 2226426647. The reversal of 2226426624 is 4266246222.

2226426624 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 4 + 26 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10747 + ... + 67589.

It is an arithmetic number, because the mean of its divisors is an integer number (62935782).

Almost surely, 22226426624 is an apocalyptic number.

2226426624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398532228).

2226426624 is an abundant number, since it is smaller than the sum of its proper divisors (4570637832).

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

2226426624 is a wasteful number, since it uses less digits than its factorization.

2226426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56882 (or 56865 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2226426624 is about 47185.0254212075. The cubic root of 2226426624 is about 1305.7783457348.

The spelling of 2226426624 in words is "two billion, two hundred twenty-six million, four hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 544 576 612 768 816 1088 1152 1224 1632 2176 2304 2448 3264 4352 4896 6528 9792 13056 19584 39168 56843 113686 170529 227372 341058 454744 511587 682116 909488 966331 1023174 1364232 1818976 1932662 2046348 2728464 2898993 3637952 3865324 4092696 5456928 5797986 7275904 7730648 8185392 8696979 10913856 11595972 14551808 15461296 16370784 17393958 21827712 23191944 30922592 32741568 34787916 43655424 46383888 61845184 65483136 69575832 92767776 123690368 130966272 139151664 185535552 247380736 278303328 371071104 556606656 742142208 1113213312 2226426624