Search a number
-
+
88214490 = 232571310771
BaseRepresentation
bin1010100001000…
…00101111011010
320010222202112100
411100200233122
5140040330430
612430424230
72120545050
oct520405732
9203882470
1088214490
1145881941
1225662076
1315378330
14ba041d0
157b27960
hex5420bda

88214490 has 96 divisors (see below), whose sum is σ = 282312576. Its totient is φ = 18610560.

The previous prime is 88214471. The next prime is 88214519. The reversal of 88214490 is 9441288.

It is a Curzon 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, 2805 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (2940756).

Almost surely, 288214490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88214490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141156288).

88214490 is an abundant number, since it is smaller than the sum of its proper divisors (194098086).

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

88214490 is a wasteful number, since it uses less digits than its factorization.

88214490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 88214490 is about 9392.2569172697. The cubic root of 88214490 is about 445.1571048197.

The spelling of 88214490 in words is "eighty-eight million, two hundred fourteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 8190 10771 21542 32313 53855 64626 75397 96939 107710 140023 150794 161565 193878 226191 280046 323130 376985 420069 452382 484695 678573 700115 753970 840138 969390 980161 1130955 1260207 1357146 1400230 1960322 2100345 2261910 2520414 2940483 3392865 4200690 4900805 5880966 6301035 6785730 8821449 9801610 12602070 14702415 17642898 29404830 44107245 88214490