Search a number
-
+
23142522400 = 255247036151
BaseRepresentation
bin10101100011011001…
…101101111000100000
32012201211201221120021
4111203121231320200
5334343441204100
614344224323224
71446331123534
oct254331557040
965654657507
1023142522400
1198a6394678
12459a473514
13224a77064a
1411977cbbc4
15906ab3a1a
hex56366de20

23142522400 has 72 divisors (see below), whose sum is σ = 56517882624. Its totient is φ = 9253536000.

The previous prime is 23142522391. The next prime is 23142522419. The reversal of 23142522400 is 422524132.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 3759325 + ... + 3765475.

It is an arithmetic number, because the mean of its divisors is an integer number (784970592).

Almost surely, 223142522400 is an apocalyptic number.

23142522400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23142522400 is an abundant number, since it is smaller than the sum of its proper divisors (33375360224).

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

23142522400 is a wasteful number, since it uses less digits than its factorization.

23142522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10874 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 23142522400 in words is "twenty-three billion, one hundred forty-two million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4703 6151 9406 12302 18812 23515 24604 30755 37624 47030 49208 61510 75248 94060 98416 117575 123020 150496 153775 188120 196832 235150 246040 307550 376240 470300 492080 615100 752480 940600 984160 1230200 1881200 2460400 3762400 4920800 28928153 57856306 115712612 144640765 231425224 289281530 462850448 578563060 723203825 925700896 1157126120 1446407650 2314252240 2892815300 4628504480 5785630600 11571261200 23142522400