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23224240144100 = 22521625291428929
BaseRepresentation
bin1010100011111010100001…
…00101010111111011100100
310001020012211020010101002002
411101331100211113323210
511021001220434102400
6121221022454104432
74614616215036032
oct521752045277344
9101205736111062
1023224240144100
117444388119a56
12273101b04b118
13cc6062100728
145a40b8703552
152a41b0b78ed5
hex151f50957ee4

23224240144100 has 36 divisors (see below), whose sum is σ = 50396946459300. Its totient is φ = 9289632399360.

The previous prime is 23224240144067. The next prime is 23224240144153. The reversal of 23224240144100 is 144104242232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1250890138624 + 21973350005476 = 1118432^2 + 4687574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15538436 + ... + 16967364.

It is an arithmetic number, because the mean of its divisors is an integer number (1399915179425).

Almost surely, 223224240144100 is an apocalyptic number.

23224240144100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23224240144100 is an abundant number, since it is smaller than the sum of its proper divisors (27172706315200).

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

23224240144100 is a wasteful number, since it uses less digits than its factorization.

23224240144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591472 (or 1591465 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 23224240144100 its reverse (144104242232), we get a palindrome (23368344386332).

The spelling of 23224240144100 in words is "twenty-three trillion, two hundred twenty-four billion, two hundred forty million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 162529 325058 650116 812645 1428929 1625290 2857858 3250580 4063225 5715716 7144645 8126450 14289290 16252900 28578580 35723225 71446450 142892900 232242401441 464484802882 928969605764 1161212007205 2322424014410 4644848028820 5806060036025 11612120072050 23224240144100