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2215955456 = 210111337409
BaseRepresentation
bin1000010000010100…
…1100110000000000
312201102201012102022
42010011030300000
514014241033311
61003515341012
7105625211351
oct20405146000
95642635368
102215955456
11a37938150
1251a151768
13294129b60
14170431d28
15ce81e5db
hex8414cc00

2215955456 has 176 divisors, whose sum is σ = 5357899680. Its totient is φ = 902430720.

The previous prime is 2215955431. The next prime is 2215955459. The reversal of 2215955456 is 6545595122.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (2215955459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5417780 + ... + 5418188.

Almost surely, 22215955456 is an apocalyptic number.

2215955456 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 2215955456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678949840).

2215955456 is an abundant number, since it is smaller than the sum of its proper divisors (3141944224).

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

2215955456 is a wasteful number, since it uses less digits than its factorization.

2215955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 472 counting only the distinct ones).

The product of its digits is 540000, while the sum is 44.

The square root of 2215955456 is about 47073.9360580778. The cubic root of 2215955456 is about 1303.7280474691.

The spelling of 2215955456 in words is "two billion, two hundred fifteen million, nine hundred fifty-five thousand, four hundred fifty-six".