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557223420 = 2235132179307
BaseRepresentation
bin100001001101101…
…000110111111100
31102211111212211110
4201031220313330
52120122122140
6131143122020
716544215035
oct4115506774
91384455743
10557223420
112665a1226
12136743310
138b59c300
145400da8c
1533dbd380
hex21368dfc

557223420 has 144 divisors (see below), whose sum is σ = 1704447360. Its totient is φ = 135952128.

The previous prime is 557223379. The next prime is 557223427. The reversal of 557223420 is 24322755.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557223427) 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, 1814907 + ... + 1815213.

It is an arithmetic number, because the mean of its divisors is an integer number (11836440).

Almost surely, 2557223420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852223680).

557223420 is an abundant number, since it is smaller than the sum of its proper divisors (1147223940).

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

557223420 is a wasteful number, since it uses less digits than its factorization.

557223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 557223420 is about 23605.5802724695. The cubic root of 557223420 is about 822.8925310474.

The spelling of 557223420 in words is "five hundred fifty-seven million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 179 195 260 307 338 358 390 507 537 614 676 716 780 845 895 921 1014 1074 1228 1535 1690 1790 1842 2028 2148 2327 2535 2685 3070 3380 3580 3684 3991 4605 4654 5070 5370 6140 6981 7982 9210 9308 10140 10740 11635 11973 13962 15964 18420 19955 23270 23946 27924 30251 34905 39910 46540 47892 51883 54953 59865 60502 69810 79820 90753 103766 109906 119730 121004 139620 151255 155649 164859 181506 207532 219812 239460 259415 274765 302510 311298 329718 363012 453765 518830 549530 605020 622596 659436 714389 778245 824295 907530 1037660 1099060 1428778 1556490 1648590 1815060 2143167 2857556 3112980 3297180 3571945 4286334 7143890 8572668 9287057 10715835 14287780 18574114 21431670 27861171 37148228 42863340 46435285 55722342 92870570 111444684 139305855 185741140 278611710 557223420