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7220216640 = 2635721311807
BaseRepresentation
bin1101011100101101…
…11100001101000000
3200122012010000020010
412232112330031000
5104241333413030
63152242144520
7343631554200
oct65626741500
920565100203
107220216640
11307569569a
121496052140
138b0b1b150
144c6cc2400
152c3d186b0
hex1ae5bc340

7220216640 has 336 divisors, whose sum is σ = 28720645632. Its totient is φ = 1523257344.

The previous prime is 7220216629. The next prime is 7220216651. The reversal of 7220216640 is 466120227.

It is an interprime number because it is at equal distance from previous prime (7220216629) and next prime (7220216651).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7220216598 and 7220216607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605617 + ... + 617423.

It is an arithmetic number, because the mean of its divisors is an integer number (85478112).

Almost surely, 27220216640 is an apocalyptic number.

7220216640 is a gapful number since it is divisible by the number (70) 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 7220216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360322816).

7220216640 is an abundant number, since it is smaller than the sum of its proper divisors (21500428992).

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

7220216640 is a wasteful number, since it uses less digits than its factorization.

7220216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11854 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 7220216640 is about 84971.8579295522. The cubic root of 7220216640 is about 1932.7843905896.

Adding to 7220216640 its reverse (466120227), we get a palindrome (7686336867).

The spelling of 7220216640 in words is "seven billion, two hundred twenty million, two hundred sixteen thousand, six hundred forty".