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2320550144 = 281141101199
BaseRepresentation
bin1000101001010000…
…1100100100000000
312222201112011100122
42022110030210000
514223030101034
61022133235412
7111335231213
oct21224144400
95881464318
102320550144
11a90987740
12549192b68
132ac9bbac3
1418029b77a
15d8ad062e
hex8a50c900

2320550144 has 144 divisors (see below), whose sum is σ = 5253897600. Its totient is φ = 1013760000.

The previous prime is 2320550143. The next prime is 2320550147. The reversal of 2320550144 is 4410550232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2320550143) 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, 11660957 + ... + 11661155.

It is an arithmetic number, because the mean of its divisors is an integer number (36485400).

Almost surely, 22320550144 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 2320550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626948800).

2320550144 is an abundant number, since it is smaller than the sum of its proper divisors (2933347456).

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

2320550144 is a wasteful number, since it uses less digits than its factorization.

2320550144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2320550144 is about 48172.0888482117. The cubic root of 2320550144 is about 1323.9258210313.

The spelling of 2320550144 in words is "two billion, three hundred twenty million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 101 128 164 176 199 202 256 328 352 398 404 451 656 704 796 808 902 1111 1312 1408 1592 1616 1804 2189 2222 2624 2816 3184 3232 3608 4141 4378 4444 5248 6368 6464 7216 8159 8282 8756 8888 10496 12736 12928 14432 16318 16564 17512 17776 20099 25472 25856 28864 32636 33128 35024 35552 40198 45551 50944 57728 65272 66256 70048 71104 80396 89749 91102 115456 130544 132512 140096 142208 160792 179498 182204 221089 261088 265024 280192 284416 321584 358996 364408 442178 522176 530048 560384 643168 717992 728816 824059 884356 1044352 1060096 1286336 1435984 1457632 1648118 1768712 2088704 2572672 2871968 2915264 3296236 3537424 5145344 5743936 5830528 6592472 7074848 9064649 11487872 11661056 13184944 14149696 18129298 22975744 26369888 28299392 36258596 52739776 56598784 72517192 105479552 145034384 210959104 290068768 580137536 1160275072 2320550144