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2213437952 = 29111073673
BaseRepresentation
bin1000001111101110…
…0110001000000000
312201020222022001102
42003323212020000
514013120003302
61003345353532
7105564624605
oct20373461000
95636868042
102213437952
11a36478770
125193388a8
13293757ccb
1416dd786ac
15ce4c3702
hex83ee6200

2213437952 has 80 divisors (see below), whose sum is σ = 4871018592. Its totient is φ = 996433920.

The previous prime is 2213437951. The next prime is 2213437969. The reversal of 2213437952 is 2597343122.

It is not an unprimeable number, because it can be changed into a prime (2213437951) 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, 600788 + ... + 604460.

Almost surely, 22213437952 is an apocalyptic number.

2213437952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435509296).

2213437952 is an abundant number, since it is smaller than the sum of its proper divisors (2657580640).

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

2213437952 is a wasteful number, since it uses less digits than its factorization.

2213437952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3793 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 2213437952 is about 47047.1885663745. The cubic root of 2213437952 is about 1303.2341470049.

The spelling of 2213437952 in words is "two billion, two hundred thirteen million, four hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 128 176 214 256 352 428 512 704 856 1177 1408 1712 2354 2816 3424 3673 4708 5632 6848 7346 9416 13696 14692 18832 27392 29384 37664 40403 54784 58768 75328 80806 117536 150656 161612 235072 301312 323224 393011 470144 602624 646448 786022 940288 1292896 1572044 1880576 2585792 3144088 4323121 5171584 6288176 8646242 10343168 12576352 17292484 20686336 25152704 34584968 50305408 69169936 100610816 138339872 201221632 276679744 553359488 1106718976 2213437952