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22253231430 = 23254318131769
BaseRepresentation
bin10100101110011001…
…010101110101000110
32010102212101021200200
4110232121111311012
5331033311401210
614120055551330
71415312226513
oct245631256506
963385337620
1022253231430
11948a407161
12439068b546
132138456481
14111165c30a
158a39a00c0
hex52e655d46

22253231430 has 96 divisors (see below), whose sum is σ = 59532913440. Its totient is φ = 5763985920.

The previous prime is 22253231411. The next prime is 22253231449. The reversal of 22253231430 is 3413235222.

22253231430 is a `hidden beast` number, since 2 + 225 + 3 + 2 + 3 + 1 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (22253231411) and next prime (22253231449).

It is a junction number, because it is equal to n+sod(n) for n = 22253231394 and 22253231403.

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, 684586 + ... + 716354.

It is an arithmetic number, because the mean of its divisors is an integer number (620134515).

Almost surely, 222253231430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22253231430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29766456720).

22253231430 is an abundant number, since it is smaller than the sum of its proper divisors (37279682010).

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

22253231430 is a wasteful number, since it uses less digits than its factorization.

22253231430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32006 (or 32003 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22253231430 its reverse (3413235222), we get a palindrome (25666466652).

The spelling of 22253231430 in words is "twenty-two billion, two hundred fifty-three million, two hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 181 215 258 362 387 430 543 645 774 905 1086 1290 1629 1810 1935 2715 3258 3870 5430 7783 8145 15566 16290 23349 31769 38915 46698 63538 70047 77830 95307 116745 140094 158845 190614 233490 285921 317690 350235 476535 571842 700470 953070 1366067 1429605 2732134 2859210 4098201 5750189 6830335 8196402 11500378 12294603 13660670 17250567 20491005 24589206 28750945 34501134 40982010 51751701 57501890 61473015 86252835 103503402 122946030 172505670 247258127 258758505 494516254 517517010 741774381 1236290635 1483548762 2225323143 2472581270 3708871905 4450646286 7417743810 11126615715 22253231430