Search a number
-
+
557222160 = 243511832543
BaseRepresentation
bin100001001101101…
…000100100010000
31102211111211002210
4201031220210100
52120122102120
6131143112120
716544211255
oct4115504420
91384454083
10557222160
112665a0290
12136742640
138b59b871
145400d42c
1533dbcce0
hex21368910

557222160 has 160 divisors (see below), whose sum is σ = 1907877888. Its totient is φ = 133404160.

The previous prime is 557222143. The next prime is 557222161. The reversal of 557222160 is 61222755.

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

It is not an unprimeable number, because it can be changed into a prime (557222161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217849 + ... + 220391.

Almost surely, 2557222160 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 557222160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953938944).

557222160 is an abundant number, since it is smaller than the sum of its proper divisors (1350655728).

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

557222160 is a wasteful number, since it uses less digits than its factorization.

557222160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 557222160 is about 23605.5535838497. The cubic root of 557222160 is about 822.8919108022.

The spelling of 557222160 in words is "five hundred fifty-seven million, two hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2543 2640 2739 3320 3652 3984 4565 4980 5086 5478 6640 7304 7629 9130 9960 10172 10956 12715 13695 14608 15258 18260 19920 20344 21912 25430 27390 27973 30516 36520 38145 40688 43824 50860 54780 55946 61032 73040 76290 83919 101720 109560 111892 122064 139865 152580 167838 203440 211069 219120 223784 279730 305160 335676 419595 422138 447568 559460 610320 633207 671352 839190 844276 1055345 1118920 1266414 1342704 1678380 1688552 2110690 2237840 2321759 2532828 3166035 3356760 3377104 4221380 4643518 5065656 6332070 6713520 6965277 8442760 9287036 10131312 11608795 12664140 13930554 16885520 18574072 23217590 25328280 27861108 34826385 37148144 46435180 50656560 55722216 69652770 92870360 111444432 139305540 185740720 278611080 557222160