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22230542320 = 2457176138281
BaseRepresentation
bin10100101101000010…
…110010011111110000
32010101021200120002021
4110231002302133300
5331012004323240
614113525401224
71414615330510
oct245502623760
963337616067
1022230542320
11947861a528
124384b69214
13213384106c
14110c633840
158a19bc54a
hex52d0b27f0

22230542320 has 160 divisors (see below), whose sum is σ = 63571395456. Its totient is φ = 7055769600.

The previous prime is 22230542311. The next prime is 22230542359. The reversal of 22230542320 is 2324503222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561580 + ... + 599860.

Almost surely, 222230542320 is an apocalyptic number.

22230542320 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 22230542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31785697728).

22230542320 is an abundant number, since it is smaller than the sum of its proper divisors (41340853136).

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

22230542320 is a wasteful number, since it uses less digits than its factorization.

22230542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38379 (or 38373 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The spelling of 22230542320 in words is "twenty-two billion, two hundred thirty million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 61 68 70 80 85 112 119 122 136 140 170 238 244 272 280 305 340 427 476 488 560 595 610 680 854 952 976 1037 1190 1220 1360 1708 1904 2074 2135 2380 2440 3416 4148 4270 4760 4880 5185 6832 7259 8296 8540 9520 10370 14518 16592 17080 20740 29036 34160 36295 38281 41480 58072 72590 76562 82960 116144 145180 153124 191405 267967 290360 306248 382810 535934 580720 612496 650777 765620 1071868 1301554 1339835 1531240 2143736 2335141 2603108 2679670 3062480 3253885 4287472 4555439 4670282 5206216 5359340 6507770 9110878 9340564 10412432 10718680 11675705 13015540 16345987 18221756 18681128 21437360 22777195 23351410 26031080 32691974 36443512 37362256 39697397 45554390 46702820 52062160 65383948 72887024 79394794 81729935 91108780 93405640 130767896 158789588 163459870 182217560 186811280 198486985 261535792 277881779 317579176 326919740 364435120 396973970 555763558 635158352 653839480 793947940 1111527116 1307678960 1389408895 1587895880 2223054232 2778817790 3175791760 4446108464 5557635580 11115271160 22230542320