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2422674048 = 27359611753
BaseRepresentation
bin1001000001100111…
…0001001010000000
320020211200121000110
42100121301022000
514430201032143
61040222151320
7114015250434
oct22031611200
96224617013
102422674048
111033599963
12577422540
132c7bc7252
1418da829c4
15e2a54533
hex90671280

2422674048 has 128 divisors (see below), whose sum is σ = 6655377600. Its totient is φ = 780410880.

The previous prime is 2422674047. The next prime is 2422674061. The reversal of 2422674048 is 8404762242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2422673997 and 2422674015.

It is not an unprimeable number, because it can be changed into a prime (2422674047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381140 + ... + 1382892.

Almost surely, 22422674048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327688800).

2422674048 is an abundant number, since it is smaller than the sum of its proper divisors (4232703552).

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

2422674048 is a wasteful number, since it uses less digits than its factorization.

2422674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 2422674048 is about 49220.6668788630. Note that the first 3 decimals coincide. The cubic root of 2422674048 is about 1343.0690122839.

The spelling of 2422674048 in words is "two billion, four hundred twenty-two million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 64 96 118 122 128 177 183 192 236 244 354 366 384 472 488 708 732 944 976 1416 1464 1753 1888 1952 2832 2928 3506 3599 3776 3904 5259 5664 5856 7012 7198 7552 7808 10518 10797 11328 11712 14024 14396 21036 21594 22656 23424 28048 28792 42072 43188 56096 57584 84144 86376 103427 106933 112192 115168 168288 172752 206854 213866 224384 230336 310281 320799 336576 345504 413708 427732 460672 620562 641598 673152 691008 827416 855464 1241124 1283196 1382016 1654832 1710928 2482248 2566392 3309664 3421856 4964496 5132784 6309047 6619328 6843712 9928992 10265568 12618094 13238656 13687424 18927141 19857984 20531136 25236188 37854282 39715968 41062272 50472376 75708564 100944752 151417128 201889504 302834256 403779008 605668512 807558016 1211337024 2422674048