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2123233400 = 235231211047
BaseRepresentation
bin111111010001101…
…1111100001111000
312110222020102200002
41332203133201320
513322021432100
6550404132132
7103421120561
oct17643374170
95428212602
102123233400
1199a567752
124b3097048
1327ab63c32
14161db7168
15c66062d5
hex7e8df878

2123233400 has 72 divisors (see below), whose sum is σ = 5101358760. Its totient is φ = 821822400.

The previous prime is 2123233393. The next prime is 2123233429. The reversal of 2123233400 is 43323212.

2123233400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 186677 + ... + 197723.

It is an arithmetic number, because the mean of its divisors is an integer number (70852205).

Almost surely, 22123233400 is an apocalyptic number.

2123233400 is a gapful number since it is divisible by the number (20) 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 2123233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550679380).

2123233400 is an abundant number, since it is smaller than the sum of its proper divisors (2978125360).

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

2123233400 is a wasteful number, since it uses less digits than its factorization.

2123233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2123233400 is about 46078.5568350399. The cubic root of 2123233400 is about 1285.2844278461.

Adding to 2123233400 its reverse (43323212), we get a palindrome (2166556612).

The spelling of 2123233400 in words is "two billion, one hundred twenty-three million, two hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 961 1240 1550 1922 3100 3844 4805 6200 7688 9610 11047 19220 22094 24025 38440 44188 48050 55235 88376 96100 110470 192200 220940 276175 342457 441880 552350 684914 1104700 1369828 1712285 2209400 2739656 3424570 6849140 8561425 10616167 13698280 17122850 21232334 34245700 42464668 53080835 68491400 84929336 106161670 212323340 265404175 424646680 530808350 1061616700 2123233400