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1222431540 = 22351121631033
BaseRepresentation
bin100100011011100…
…1101001100110100
310011012012221211020
41020313031030310
510000420302130
6321144541140
742202332231
oct11067151464
93135187736
101222431540
11578037a00
122a14817b0
13166349595
14b84cc788
15724bbe10
hex48dcd334

1222431540 has 144 divisors (see below), whose sum is σ = 3789006144. Its totient is φ = 294243840.

The previous prime is 1222431533. The next prime is 1222431569. The reversal of 1222431540 is 451342221.

It is a self number, because there is not a number n which added to its sum of digits gives 1222431540.

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, 1182864 + ... + 1183896.

Almost surely, 21222431540 is an apocalyptic number.

1222431540 is a gapful number since it is divisible by the number (10) 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 1222431540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894503072).

1222431540 is an abundant number, since it is smaller than the sum of its proper divisors (2566574604).

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

1222431540 is a wasteful number, since it uses less digits than its factorization.

1222431540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1222431540 is about 34963.2884608985. The cubic root of 1222431540 is about 1069.2391423290.

Adding to 1222431540 its reverse (451342221), we get a palindrome (1673773761).

The spelling of 1222431540 in words is "one billion, two hundred twenty-two million, four hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 163 165 220 242 326 330 363 484 489 605 652 660 726 815 978 1033 1210 1452 1630 1793 1815 1956 2066 2420 2445 3099 3260 3586 3630 4132 4890 5165 5379 6198 7172 7260 8965 9780 10330 10758 11363 12396 15495 17930 19723 20660 21516 22726 26895 30990 34089 35860 39446 45452 53790 56815 59169 61980 68178 78892 98615 107580 113630 118338 124993 136356 168379 170445 197230 227260 236676 249986 295845 336758 340890 374979 394460 499972 505137 591690 624965 673516 681780 749958 841895 1010274 1183380 1249930 1499916 1683790 1852169 1874895 2020548 2499860 2525685 3367580 3704338 3749790 5051370 5556507 7408676 7499580 9260845 10102740 11113014 18521690 20373859 22226028 27782535 37043380 40747718 55565070 61121577 81495436 101869295 111130140 122243154 203738590 244486308 305607885 407477180 611215770 1222431540