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30022816 = 2517229241
BaseRepresentation
bin111001010000…
…1110010100000
32002111022120011
41302201302200
530141212231
62551254304
7513122035
oct162416240
962438504
1030022816
1115a4664a
12a07a394
1362b24a5
143db738c
1529809b1
hex1ca1ca0

30022816 has 48 divisors (see below), whose sum is σ = 63118440. Its totient is φ = 14008320.

The previous prime is 30022813. The next prime is 30022819. The reversal of 30022816 is 61822003.

It is an interprime number because it is at equal distance from previous prime (30022813) and next prime (30022819).

It can be written as a sum of positive squares in 4 ways, for example, as 29376400 + 646416 = 5420^2 + 804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30022813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124456 + ... + 124696.

Almost surely, 230022816 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 30022816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31559220).

30022816 is an abundant number, since it is smaller than the sum of its proper divisors (33095624).

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

30022816 is a wasteful number, since it uses less digits than its factorization.

30022816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30022816 is about 5479.3079855033. The cubic root of 30022816 is about 310.8020024308.

Adding to 30022816 its reverse (61822003), we get a palindrome (91844819).

The spelling of 30022816 in words is "thirty million, twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 229 241 272 458 482 544 916 964 1832 1928 3664 3856 3893 4097 7328 7712 7786 8194 15572 16388 31144 32776 55189 62288 65552 110378 124576 131104 220756 441512 883024 938213 1766048 1876426 3752852 7505704 15011408 30022816