Search a number
-
+
2228567664 = 24346428493
BaseRepresentation
bin1000010011010101…
…0011111001110000
312202022102222010010
42010311103321300
514031003131124
61005045534520
7106140340551
oct20465237160
95668388103
102228567664
11a43a71964
12522414440
132969246bb
14171d96328
15d09b1529
hex84d53e70

2228567664 has 20 divisors (see below), whose sum is σ = 5757133256. Its totient is φ = 742855872.

The previous prime is 2228567657. The next prime is 2228567701. The reversal of 2228567664 is 4667658222.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 46428493 = 2228567664 / (2 + 2 + 2 + 8 + 5 + 6 + 7 + 6 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23214199 + ... + 23214294.

Almost surely, 22228567664 is an apocalyptic number.

2228567664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228567664 is an abundant number, since it is smaller than the sum of its proper divisors (3528565592).

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

2228567664 is a wasteful number, since it uses less digits than its factorization.

2228567664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46428504 (or 46428498 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 2228567664 is about 47207.7076757599. The cubic root of 2228567664 is about 1306.1967782655.

The spelling of 2228567664 in words is "two billion, two hundred twenty-eight million, five hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 46428493 92856986 139285479 185713972 278570958 371427944 557141916 742855888 1114283832 2228567664