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2299752048 = 243118397541
BaseRepresentation
bin1000100100010011…
…0110111001110000
312221021101111201210
42021010312321300
514202214031143
61020111400120
7110663366316
oct21104667160
95837344653
102299752048
11a80171830
12542223040
132a85b9339
1417b6060b6
15d6d73033
hex89136e70

2299752048 has 160 divisors (see below), whose sum is σ = 6639075072. Its totient is φ = 680140800.

The previous prime is 2299752047. The next prime is 2299752067. The reversal of 2299752048 is 8402579922.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2299751988 and 2299752006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299752047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4250658 + ... + 4251198.

Almost surely, 22299752048 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 2299752048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319537536).

2299752048 is an abundant number, since it is smaller than the sum of its proper divisors (4339323024).

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

2299752048 is a wasteful number, since it uses less digits than its factorization.

2299752048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2299752048 is about 47955.7300851525. The cubic root of 2299752048 is about 1319.9586855756.

The spelling of 2299752048 in words is "two billion, two hundred ninety-nine million, seven hundred fifty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 97 132 166 176 194 249 264 291 332 388 498 528 541 582 664 776 913 996 1067 1082 1164 1328 1552 1623 1826 1992 2134 2164 2328 2739 3201 3246 3652 3984 4268 4328 4656 5478 5951 6402 6492 7304 8051 8536 8656 10956 11902 12804 12984 14608 16102 17072 17853 21912 23804 24153 25608 25968 32204 35706 43824 44903 47608 48306 51216 52477 64408 71412 88561 89806 95216 96612 104954 128816 134709 142824 157431 177122 179612 193224 209908 265683 269418 285648 314862 354244 359224 386448 419816 493933 531366 538836 577247 629724 708488 718448 839632 987866 1062732 1077672 1154494 1259448 1416976 1481799 1731741 1975732 2125464 2155344 2308988 2518896 2963598 3463482 3951464 4250928 4355591 4617976 5927196 6926964 7902928 8711182 9235952 11854392 13066773 13853928 17422364 23708784 26133546 27707856 34844728 47911501 52267092 69689456 95823002 104534184 143734503 191646004 209068368 287469006 383292008 574938012 766584016 1149876024 2299752048