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2213532464 = 2411131756909
BaseRepresentation
bin1000001111101111…
…1101001100110000
312201021011002200212
42003323331030300
514013131014324
61003351403252
7105565500263
oct20373751460
95637132625
102213532464
11a36532780
12519383528
1329378c030
1416dda0cda
15ce4e170e
hex83efd330

2213532464 has 80 divisors (see below), whose sum is σ = 5334971040. Its totient is φ = 874106880.

The previous prime is 2213532407. The next prime is 2213532469. The reversal of 2213532464 is 4642353122.

It is a super-2 number, since 2×22135324642 = 9799451938363822592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2213532464.

It is not an unprimeable number, because it can be changed into a prime (2213532469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10442 + ... + 67350.

It is an arithmetic number, because the mean of its divisors is an integer number (66687138).

Almost surely, 22213532464 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 2213532464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667485520).

2213532464 is an abundant number, since it is smaller than the sum of its proper divisors (3121438576).

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

2213532464 is a wasteful number, since it uses less digits than its factorization.

2213532464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56958 (or 56952 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 2213532464 is about 47048.1929939929. The cubic root of 2213532464 is about 1303.2526957536.

Adding to 2213532464 its reverse (4642353122), we get a palindrome (6855885586).

The spelling of 2213532464 in words is "two billion, two hundred thirteen million, five hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 748 884 1144 1496 1768 2288 2431 2992 3536 4862 9724 19448 38896 56909 113818 227636 455272 625999 739817 910544 967453 1251998 1479634 1934906 2503996 2959268 3869812 5007992 5918536 7739624 8137987 10015984 10641983 11837072 12576889 15479248 16275974 21283966 25153778 32551948 42567932 50307556 65103896 85135864 100615112 130207792 138345779 170271728 201230224 276691558 553383116 1106766232 2213532464