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23228808100 = 2252152412
BaseRepresentation
bin10101101000100010…
…110111101110100100
32012221212002201021221
4111220202313232210
5340033033324400
614400545550124
71451426416411
oct255042675644
965855081257
1023228808100
119940069373
124603345344
1322625c1a84
1411a504d108
1590e459c1a
hex5688b7ba4

23228808100 has 27 divisors (see below), whose sum is σ = 50409821091. Its totient is φ = 9290913600.

The previous prime is 23228808067. The next prime is 23228808133. The reversal of 23228808100 is 180882232.

The square root of 23228808100 is 152410.

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

It is an interprime number because it is at equal distance from previous prime (23228808067) and next prime (23228808133).

It can be written as a sum of positive squares in 4 ways, for example, as 659154276 + 22569653824 = 25674^2 + 150232^2 .

It is a super-2 number, since 2×232288081002 (a number of 22 digits) contains 22 as substring.

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, 1516480 + ... + 1531720.

Almost surely, 223228808100 is an apocalyptic number.

23228808100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23228808100 is the 152410-th square number.

It is an amenable number.

23228808100 is an abundant number, since it is smaller than the sum of its proper divisors (27181012991).

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

23228808100 is an frugal number, since it uses more digits than its factorization.

23228808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30496 (or 15248 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 23228808100 in words is "twenty-three billion, two hundred twenty-eight million, eight hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15241 30482 60964 76205 152410 304820 381025 762050 1524100 232288081 464576162 929152324 1161440405 2322880810 4645761620 5807202025 11614404050 23228808100