Search a number
-
+
2248490664 = 23357165233
BaseRepresentation
bin1000011000000101…
…0011111010101000
312210200221011100000
42012001103322220
514101103200124
61011040543000
7106501566240
oct20601237250
95720834300
102248490664
11a5423a352
12529021a60
1329aaaba64
141748a0b20
15d25e96c9
hex86053ea8

2248490664 has 96 divisors (see below), whose sum is σ = 7217421120. Its totient is φ = 642422016.

The previous prime is 2248490663. The next prime is 2248490701. The reversal of 2248490664 is 4660948422.

2248490664 is a `hidden beast` number, since 22 + 484 + 90 + 6 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (2248490663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69009 + ... + 96224.

It is an arithmetic number, because the mean of its divisors is an integer number (75181470).

Almost surely, 22248490664 is an apocalyptic number.

2248490664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2248490664 is an abundant number, since it is smaller than the sum of its proper divisors (4968930456).

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

2248490664 is a wasteful number, since it uses less digits than its factorization.

2248490664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165261 (or 165245 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2248490664 is about 47418.2524351119. The cubic root of 2248490664 is about 1310.0776256858.

The spelling of 2248490664 in words is "two billion, two hundred forty-eight million, four hundred ninety thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 165233 330466 495699 660932 991398 1156631 1321864 1487097 1982796 2313262 2974194 3469893 3965592 4461291 4626524 5948388 6939786 8922582 9253048 10409679 11896776 13383873 13879572 17845164 20819358 26767746 27759144 31229037 35690328 40151619 41638716 53535492 62458074 80303238 83277432 93687111 107070984 124916148 160606476 187374222 249832296 281061333 321212952 374748444 562122666 749496888 1124245332 2248490664