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2293152504 = 233436173499
BaseRepresentation
bin1000100010101110…
…1011101011111000
312220210222012212020
42020223223223320
514144021340004
61015314114440
7110553321546
oct21053535370
95823865766
102293152504
11a77474465
1253bb7ba20
132a7118496
1417a7a8d96
15d64bc8d9
hex88aebaf8

2293152504 has 128 divisors (see below), whose sum is σ = 6056160000. Its totient is φ = 722856960.

The previous prime is 2293152497. The next prime is 2293152517. The reversal of 2293152504 is 4052513922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4595247 + ... + 4595745.

It is an arithmetic number, because the mean of its divisors is an integer number (47313750).

Almost surely, 22293152504 is an apocalyptic number.

2293152504 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 2293152504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028080000).

2293152504 is an abundant number, since it is smaller than the sum of its proper divisors (3763007496).

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

2293152504 is a wasteful number, since it uses less digits than its factorization.

2293152504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2293152504 is about 47886.8719379331. The cubic root of 2293152504 is about 1318.6948578158.

The spelling of 2293152504 in words is "two billion, two hundred ninety-three million, one hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 61 73 86 122 129 146 172 183 219 244 258 292 344 366 438 488 499 516 584 732 876 998 1032 1464 1497 1752 1996 2623 2994 3139 3992 4453 5246 5988 6278 7869 8906 9417 10492 11976 12556 13359 15738 17812 18834 20984 21457 25112 26718 30439 31476 35624 36427 37668 42914 53436 60878 62952 64371 72854 75336 85828 91317 106872 109281 121756 128742 145708 171656 182634 191479 218562 243512 257484 291416 365268 382958 437124 514968 574437 730536 765916 874248 1148874 1308877 1531832 1566361 2222047 2297748 2617754 3132722 3926631 4444094 4595496 4699083 5235508 6265444 6666141 7853262 8888188 9398166 10471016 12530888 13332282 15706524 17776376 18796332 26664564 31413048 37592664 53329128 95548021 191096042 286644063 382192084 573288126 764384168 1146576252 2293152504