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2216502496 = 251327119661
BaseRepresentation
bin1000010000011101…
…0010010011100000
312201110201222211001
42010013102103200
514014411034441
61003535201344
7105632650255
oct20407222340
95643658731
102216502496
11a3818114a
1251a376254
1329428bb50
1417053542c
15ce8cb731
hex841d24e0

2216502496 has 48 divisors (see below), whose sum is σ = 4716992448. Its totient is φ = 1019174400.

The previous prime is 2216502493. The next prime is 2216502499. The reversal of 2216502496 is 6942056122.

It is an interprime number because it is at equal distance from previous prime (2216502493) and next prime (2216502499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216502493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102906 + ... + 122566.

It is an arithmetic number, because the mean of its divisors is an integer number (98270676).

Almost surely, 22216502496 is an apocalyptic number.

2216502496 is a gapful number since it is divisible by the number (26) 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 2216502496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358496224).

2216502496 is an abundant number, since it is smaller than the sum of its proper divisors (2500489952).

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

2216502496 is a wasteful number, since it uses less digits than its factorization.

2216502496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19955 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2216502496 is about 47079.7461335551. The cubic root of 2216502496 is about 1303.8353198889.

The spelling of 2216502496 in words is "two billion, two hundred sixteen million, five hundred two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 271 416 542 1084 2168 3523 4336 7046 8672 14092 19661 28184 39322 56368 78644 112736 157288 255593 314576 511186 629152 1022372 2044744 4089488 5328131 8178976 10656262 21312524 42625048 69265703 85250096 138531406 170500192 277062812 554125624 1108251248 2216502496