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2320244420232 = 23317231012448073
BaseRepresentation
bin100001110000111001010…
…110000010111010001000
322012210221211012222111010
4201300321112002322020
5301003330032421412
64533523334203520
7326426551106634
oct41607126027210
98183854188433
102320244420232
118150125396a2
123158191b35a0
1313aa4b5a865b
148042c53ddc4
154054cad833c
hex21c39582e88

2320244420232 has 128 divisors (see below), whose sum is σ = 6472315964160. Its totient is φ = 689377075200.

The previous prime is 2320244420203. The next prime is 2320244420237.

2320244420232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2320244420232.

It is not an unprimeable number, because it can be changed into a prime (2320244420237) by changing a digit.

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, 276253 + ... + 2171820.

It is an arithmetic number, because the mean of its divisors is an integer number (50564968470).

Almost surely, 22320244420232 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 2320244420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236157982080).

2320244420232 is an abundant number, since it is smaller than the sum of its proper divisors (4152071543928).

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

2320244420232 is a wasteful number, since it uses less digits than its factorization.

2320244420232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448223 (or 2448219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 2320244420232 in words is "two trillion, three hundred twenty billion, two hundred forty-four million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 101 102 136 138 184 202 204 276 303 391 404 408 552 606 782 808 1173 1212 1564 1717 2323 2346 2424 3128 3434 4646 4692 5151 6868 6969 9292 9384 10302 13736 13938 18584 20604 27876 39491 41208 55752 78982 118473 157964 236946 315928 473892 947784 2448073 4896146 7344219 9792292 14688438 19584584 29376876 41617241 56305679 58753752 83234482 112611358 124851723 166468964 168917037 225222716 247255373 249703446 332937928 337834074 450445432 494510746 499406892 675668148 741766119 957196543 989021492 998813784 1351336296 1483532238 1914393086 1978042984 2871589629 2967064476 3828786172 4203341341 5686873579 5743179258 5934128952 7657572344 8406682682 11373747158 11486358516 12610024023 16813365364 17060620737 22747494316 22972717032 25220048046 33626730728 34121241474 45494988632 50440096092 68242482948 96676850843 100880192184 136484965896 193353701686 290030552529 386707403372 580061105058 773414806744 1160122210116 2320244420232