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23122243600 = 245276032
BaseRepresentation
bin10101100010001100…
…010111000000010000
32012200102120200021121
4111202030113000100
5334323243243400
614342221532024
71445663553631
oct254214270020
965612520247
1023122243600
1198959a3935
124593714014
1322464c0361
141194c2d888
15904e0a21a
hex562317010

23122243600 has 45 divisors (see below), whose sum is σ = 55558497693. Its totient is φ = 9247680960.

The previous prime is 23122243577. The next prime is 23122243631. The reversal of 23122243600 is 634222132.

The square root of 23122243600 is 152060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8324007696 + 14798235904 = 91236^2 + 121648^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3037399 + ... + 3045001.

Almost surely, 223122243600 is an apocalyptic number.

23122243600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23122243600 is the 152060-th square number.

It is an amenable number.

23122243600 is an abundant number, since it is smaller than the sum of its proper divisors (32436254093).

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

23122243600 is an frugal number, since it uses more digits than its factorization.

23122243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Multiplying 23122243600 by its sum of digits (25), we get a square (578056090000 = 7603002).

23122243600 divided by its sum of digits (25) gives a square (924889744 = 304122).

Adding to 23122243600 its reverse (634222132), we get a palindrome (23756465732).

The spelling of 23122243600 in words is "twenty-three billion, one hundred twenty-two million, two hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 7603 15206 30412 38015 60824 76030 121648 152060 190075 304120 380150 608240 760300 1520600 3041200 57805609 115611218 231222436 289028045 462444872 578056090 924889744 1156112180 1445140225 2312224360 2890280450 4624448720 5780560900 11561121800 23122243600