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215300916 = 2235359617
BaseRepresentation
bin11001101010100…
…11101100110100
3120000010102100000
430311103230310
5420104112131
633210351300
75223012315
oct1465235464
9500112300
10215300916
11100593846
126012b530
13357b38bc
142084660c
1513d7cce6
hexcd53b34

215300916 has 72 divisors (see below), whose sum is σ = 566879040. Its totient is φ = 71451072.

The previous prime is 215300873. The next prime is 215300929. The reversal of 215300916 is 619003512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 215300916.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348640 + ... + 349256.

It is an arithmetic number, because the mean of its divisors is an integer number (7873320).

Almost surely, 2215300916 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 215300916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283439520).

215300916 is an abundant number, since it is smaller than the sum of its proper divisors (351578124).

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

215300916 is a wasteful number, since it uses less digits than its factorization.

215300916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 215300916 is about 14673.1358611580. The cubic root of 215300916 is about 599.3520004128.

The spelling of 215300916 in words is "two hundred fifteen million, three hundred thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 359 486 617 718 972 1077 1234 1436 1851 2154 2468 3231 3702 4308 5553 6462 7404 9693 11106 12924 16659 19386 22212 29079 33318 38772 49977 58158 66636 87237 99954 116316 149931 174474 199908 221503 299862 348948 443006 599724 664509 886012 1329018 1993527 2658036 3987054 5980581 7974108 11961162 17941743 23922324 35883486 53825229 71766972 107650458 215300916