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22430245640 = 23511791016389
BaseRepresentation
bin10100111000111100…
…100110001100001000
32010220012110112112112
4110320330212030020
5331414120330030
614145422001452
71422561641105
oct247074461410
963805415475
1022430245640
11957031a5a0
12441ba16288
1321660232ca
14112ad79aac
158b42b8a95
hex538f26308

22430245640 has 128 divisors (see below), whose sum is σ = 56313792000. Its totient is φ = 7972224000.

The previous prime is 22430245639. The next prime is 22430245661. The reversal of 22430245640 is 4654203422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22430245597 and 22430245606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3507566 + ... + 3513954.

It is an arithmetic number, because the mean of its divisors is an integer number (439951500).

Almost surely, 222430245640 is an apocalyptic number.

22430245640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22430245640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28156896000).

22430245640 is an abundant number, since it is smaller than the sum of its proper divisors (33883546360).

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

22430245640 is a wasteful number, since it uses less digits than its factorization.

22430245640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 22430245640 in words is "twenty-two billion, four hundred thirty million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 101 110 158 202 220 316 395 404 440 505 632 790 808 869 1010 1111 1580 1738 2020 2222 3160 3476 4040 4345 4444 5555 6389 6952 7979 8690 8888 11110 12778 15958 17380 22220 25556 31916 31945 34760 39895 44440 51112 63832 63890 70279 79790 87769 127780 140558 159580 175538 255560 281116 319160 351076 351395 438845 504731 562232 645289 702152 702790 877690 1009462 1290578 1405580 1755380 2018924 2523655 2581156 2811160 3226445 3510760 4037848 5047310 5162312 5552041 6452890 7098179 10094620 11104082 12905780 14196358 20189240 22208164 25811560 27760205 28392716 35490895 44416328 50977831 55520410 56785432 70981790 101955662 111040820 141963580 203911324 222081640 254889155 283927160 407822648 509778310 560756141 1019556620 1121512282 2039113240 2243024564 2803780705 4486049128 5607561410 11215122820 22430245640