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1224720016 = 241326732
BaseRepresentation
bin100100011111111…
…1011111010010000
310011100112020000121
41020333323322100
510002012020031
6321310000024
742230643202
oct11077737220
93140466017
101224720016
11579360303
122a21a6014
1316696b100
14b8926772
15727c0011
hex48ffbe90

1224720016 has 45 divisors (see below), whose sum is σ = 2573289819. Its totient is φ = 564415488.

The previous prime is 1224719999. The next prime is 1224720019. The reversal of 1224720016 is 6100274221.

The square root of 1224720016 is 34996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 353289616 + 871430400 = 18796^2 + 29520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1224720019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1819456 + ... + 1820128.

Almost surely, 21224720016 is an apocalyptic number.

1224720016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1224720016 is the 34996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224720016

1224720016 is an abundant number, since it is smaller than the sum of its proper divisors (1348569803).

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

1224720016 is an frugal number, since it uses more digits than its factorization.

1224720016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 1224720016 is about 1069.9059561565.

Multiplying 1224720016 by its sum of digits (25), we get a square (30618000400 = 1749802).

Adding to 1224720016 its reverse (6100274221), we get a palindrome (7324994237).

The spelling of 1224720016 in words is "one billion, two hundred twenty-four million, seven hundred twenty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 673 676 1346 1352 2692 2704 5384 8749 10768 17498 34996 69992 113737 139984 227474 452929 454948 905858 909896 1811716 1819792 3623432 5888077 7246864 11776154 23552308 47104616 76545001 94209232 153090002 306180004 612360008 1224720016