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22314100230 = 23253747142573
BaseRepresentation
bin10100110010000001…
…100010011000000110
32010121002220201222200
4110302001202120012
5331144402201410
614130112335330
71416651502542
oct246201423006
963532821880
1022314100230
119510800854
1243a8b44546
132147c48a06
141119784a22
158a8ec53c0
hex532062606

22314100230 has 96 divisors (see below), whose sum is σ = 60852864384. Its totient is φ = 5666381568.

The previous prime is 22314100219. The next prime is 22314100247. The reversal of 22314100230 is 3200141322.

22314100230 is a `hidden beast` number, since 2 + 23 + 1 + 410 + 0 + 230 = 666.

It is a super-3 number, since 3×223141002303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85224 + ... + 227796.

It is an arithmetic number, because the mean of its divisors is an integer number (633884004).

Almost surely, 222314100230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314100230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30426432192).

22314100230 is an abundant number, since it is smaller than the sum of its proper divisors (38538764154).

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

22314100230 is a wasteful number, since it uses less digits than its factorization.

22314100230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142670 (or 142667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22314100230 its reverse (3200141322), we get a palindrome (25514241552).

The spelling of 22314100230 in words is "twenty-two billion, three hundred fourteen million, one hundred thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 47 74 90 94 111 141 185 222 235 282 333 370 423 470 555 666 705 846 1110 1410 1665 1739 2115 3330 3478 4230 5217 8695 10434 15651 17390 26085 31302 52170 78255 142573 156510 285146 427719 712865 855438 1283157 1425730 2138595 2566314 4277190 5275201 6415785 6700931 10550402 12831570 13401862 15825603 20102793 26376005 31651206 33504655 40205586 47476809 52752010 60308379 67009310 79128015 94953618 100513965 120616758 158256030 201027930 237384045 247934447 301541895 474768090 495868894 603083790 743803341 1239672235 1487606682 2231410023 2479344470 3719016705 4462820046 7438033410 11157050115 22314100230