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2214611152 = 241332512
BaseRepresentation
bin1000010000000000…
…0100100011010000
312201100011220101021
42010000010203100
514013420024102
61003430445224
7105610612165
oct20400044320
95640156337
102214611152
11a370aa156
12519803814
13293a79000
141701a206c
15ce656137
hex840048d0

2214611152 has 60 divisors (see below), whose sum is σ = 4666806340. Its totient is φ = 1018056000.

The previous prime is 2214611111. The next prime is 2214611153. The reversal of 2214611152 is 2511164122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 2132961856 = 9036^2 + 46184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214611153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8823027 + ... + 8823277.

Almost surely, 22214611152 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 2214611152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333403170).

2214611152 is an abundant number, since it is smaller than the sum of its proper divisors (2452195188).

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

2214611152 is an frugal number, since it uses more digits than its factorization.

2214611152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 266 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 2214611152 is about 47059.6552473560. The cubic root of 2214611152 is about 1303.4643596546.

Adding to 2214611152 its reverse (2511164122), we get a palindrome (4725775274).

The spelling of 2214611152 in words is "two billion, two hundred fourteen million, six hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 251 338 502 676 1004 1352 2008 2197 2704 3263 4016 4394 6526 8788 13052 17576 26104 35152 42419 52208 63001 84838 126002 169676 252004 339352 504008 551447 678704 819013 1008016 1102894 1638026 2205788 3276052 4411576 6552104 8823152 10647169 13104208 21294338 42588676 85177352 138413197 170354704 276826394 553652788 1107305576 2214611152