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2214135552 = 283732541
BaseRepresentation
bin1000001111111001…
…0000011100000000
312201022021201222110
42003332100130000
514013304314202
61003412335320
7105603561456
oct20376203400
95638251873
102214135552
11a369048a2
12519614540
132939406a5
141700ba9d6
15ce5b026c
hex83f90700

2214135552 has 108 divisors (see below), whose sum is σ = 5985702744. Its totient is φ = 726589440.

The previous prime is 2214135523. The next prime is 2214135559. The reversal of 2214135552 is 2555314122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214135559) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4092402 + ... + 4092942.

Almost surely, 22214135552 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 2214135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992851372).

2214135552 is an abundant number, since it is smaller than the sum of its proper divisors (3771567192).

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

2214135552 is an frugal number, since it uses more digits than its factorization.

2214135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 619 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 2214135552 is about 47054.6018153379. The cubic root of 2214135552 is about 1303.3710442462.

Adding to 2214135552 its reverse (2555314122), we get a palindrome (4769449674).

The spelling of 2214135552 in words is "two billion, two hundred fourteen million, one hundred thirty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 541 584 768 876 1082 1168 1623 1752 2164 2336 3246 3504 4328 4672 5329 6492 7008 8656 9344 10658 12984 14016 15987 17312 18688 21316 25968 28032 31974 34624 39493 42632 51936 56064 63948 69248 78986 85264 103872 118479 127896 138496 157972 170528 207744 236958 255792 315944 341056 415488 473916 511584 631888 682112 947832 1023168 1263776 1364224 1895664 2046336 2527552 2882989 3791328 4092672 5055104 5765978 7582656 8648967 10110208 11531956 15165312 17297934 23063912 30330624 34595868 46127824 69191736 92255648 138383472 184511296 276766944 369022592 553533888 738045184 1107067776 2214135552