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252199816 = 23112437383
BaseRepresentation
bin11110000100001…
…00001110001000
3122120120002002221
433002010032020
51004030343231
641005303424
76151443301
oct1702041610
9576502087
10252199816
1111a3a6500
1270564b74
1340332a7b
14256cd7a8
151721ad11
hexf084388

252199816 has 96 divisors (see below), whose sum is σ = 545640480. Its totient is φ = 109105920.

The previous prime is 252199813. The next prime is 252199817. The reversal of 252199816 is 618991252.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (252199813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3038511 + ... + 3038593.

It is an arithmetic number, because the mean of its divisors is an integer number (5683755).

Almost surely, 2252199816 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 252199816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272820240).

252199816 is an abundant number, since it is smaller than the sum of its proper divisors (293440664).

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

252199816 is a wasteful number, since it uses less digits than its factorization.

252199816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The square root of 252199816 is about 15880.8002317264. The cubic root of 252199816 is about 631.8028613889.

The spelling of 252199816 in words is "two hundred fifty-two million, one hundred ninety-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 22 43 44 73 83 86 88 121 146 166 172 242 292 332 344 473 484 584 664 803 913 946 968 1606 1826 1892 3139 3212 3569 3652 3784 5203 6059 6278 6424 7138 7304 8833 10043 10406 12118 12556 14276 17666 20086 20812 24236 25112 28552 34529 35332 39259 40172 41624 48472 66649 69058 70664 78518 80344 133298 138116 157036 260537 266596 276232 314072 379819 431849 521074 533192 733139 759638 863698 1042148 1466278 1519276 1727396 2084296 2865907 2932556 3038552 3454792 5731814 5865112 11463628 22927256 31524977 63049954 126099908 252199816