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19221503420 = 22572235471559
BaseRepresentation
bin10001111001101100…
…001101110110111100
31211121120122112201002
4101321230031312330
5303331201102140
612455155305432
71250220040400
oct217154156674
954546575632
1019221503420
118174046019
1238852ab278
131a74313582
14d04b57100
15777740415
hex479b0ddbc

19221503420 has 144 divisors (see below), whose sum is σ = 49117985280. Its totient is φ = 6288137856.

The previous prime is 19221503267. The next prime is 19221503423. The reversal of 19221503420 is 2430512291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19221503423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12328601 + ... + 12330159.

It is an arithmetic number, because the mean of its divisors is an integer number (341097120).

Almost surely, 219221503420 is an apocalyptic number.

19221503420 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 19221503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558992640).

19221503420 is an abundant number, since it is smaller than the sum of its proper divisors (29896481860).

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

19221503420 is a wasteful number, since it uses less digits than its factorization.

19221503420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 19221503420 in words is "nineteen billion, two hundred twenty-one million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 547 644 805 980 1094 1127 1559 1610 2188 2254 2735 3118 3220 3829 4508 5470 5635 6236 7658 7795 10913 10940 11270 12581 15316 15590 19145 21826 22540 25162 26803 31180 35857 38290 43652 50324 53606 54565 62905 71714 76391 76580 88067 107212 109130 125810 134015 143428 152782 176134 179285 218260 250999 251620 268030 305564 352268 358570 381955 440335 501998 536060 616469 717140 763910 852773 880670 1003996 1232938 1254995 1527820 1705546 1756993 1761340 2465876 2509990 3082345 3411092 3513986 4263865 5019980 5969411 6164690 7027972 8527730 8784965 11938822 12329380 17055460 17569930 19613779 23877644 29847055 35139860 39227558 41785877 59694110 78455116 83571754 98068895 119388220 137296453 167143508 196137790 208929385 274592906 392275580 417858770 549185812 686482265 835717540 961075171 1372964530 1922150342 2745929060 3844300684 4805375855 9610751710 19221503420