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22663201006040 = 2357234749174101
BaseRepresentation
bin1010010011100101100000…
…00010111010000111011000
32222020120200110000011122112
411021302300002322013120
510432303213424143130
6120111155242211452
74526235151042550
oct511626002720730
988216613004575
1022663201006040
117248456159711
1226603441b3b88
13c851911641aa
14584c94a12160
152947c6480495
hex149cb00ba1d8

22663201006040 has 128 divisors (see below), whose sum is σ = 60812677739520. Its totient is φ = 7432147008000.

The previous prime is 22663201005953. The next prime is 22663201006051. The reversal of 22663201006040 is 4060010236622.

It is a junction number, because it is equal to n+sod(n) for n = 22663201005988 and 22663201006006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305804990 + ... + 305879090.

It is an arithmetic number, because the mean of its divisors is an integer number (475099044840).

Almost surely, 222663201006040 is an apocalyptic number.

22663201006040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22663201006040 is an abundant number, since it is smaller than the sum of its proper divisors (38149476733480).

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

22663201006040 is a wasteful number, since it uses less digits than its factorization.

22663201006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121633 (or 121629 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 22663201006040 in words is "twenty-two trillion, six hundred sixty-three billion, two hundred one million, six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 47491 74101 94982 148202 189964 237455 296404 332437 370505 379928 474910 518707 592808 664874 741010 949820 1037414 1092293 1329748 1482020 1662185 1704323 1899640 2074828 2184586 2593535 2659496 2964040 3324370 3408646 4149656 4369172 5187070 5461465 6648740 6817292 7646051 8521615 8738344 10374140 10922930 11930261 13297480 13634584 15292102 17043230 20748280 21845860 23860522 30584204 34086460 38230255 43691720 47721044 59651305 61168408 68172920 76460510 95442088 119302610 152921020 238605220 305842040 477210440 3519130591 7038261182 14076522364 17595652955 24633914137 28153044728 35191305910 49267828274 70382611820 80940003593 98535656548 123169570685 140765223640 161880007186 197071313096 246339141370 323760014372 404700017965 492678282740 566580025151 647520028744 809400035930 985356565480 1133160050302 1618800071860 2266320100604 2832900125755 3237600143720 4532640201208 5665800251510 11331600503020 22663201006040