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1053312216 = 2331131112829
BaseRepresentation
bin111110110010000…
…100010011011000
32201101222210201120
4332302010103120
54124121442331
6252304045240
735050002045
oct7662042330
92641883646
101053312216
114a0627070
12254903820
1313a2b5088
149dc681cc
1562712796
hex3ec844d8

1053312216 has 64 divisors (see below), whose sum is σ = 2882131200. Its totient is φ = 318134400.

The previous prime is 1053312199. The next prime is 1053312251. The reversal of 1053312216 is 6122133501.

It is a super-2 number, since 2×10533122162 = 2218933248749661312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75690 + ... + 88518.

It is an arithmetic number, because the mean of its divisors is an integer number (45033300).

Almost surely, 21053312216 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 1053312216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441065600).

1053312216 is an abundant number, since it is smaller than the sum of its proper divisors (1828818984).

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

1053312216 is a wasteful number, since it uses less digits than its factorization.

1053312216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1053312216 is about 32454.7718525335. The cubic root of 1053312216 is about 1017.4639728705.

Adding to 1053312216 its reverse (6122133501), we get a palindrome (7175445717).

The spelling of 1053312216 in words is "one billion, fifty-three million, three hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 622 933 1244 1866 2488 3421 3732 6842 7464 10263 12829 13684 20526 25658 27368 38487 41052 51316 76974 82104 102632 141119 153948 282238 307896 423357 564476 846714 1128952 1693428 3386856 3989819 7979638 11969457 15959276 23938914 31918552 43888009 47877828 87776018 95755656 131664027 175552036 263328054 351104072 526656108 1053312216