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2072247264 = 25327195303
BaseRepresentation
bin111101110000011…
…1111101111100000
312100102022001211200
41323200333233200
513220443403024
6541343241200
7102231545133
oct17340775740
95312261750
102072247264
1197380304a
12499ba9200
13270421a19
1415930421a
15c1dd42c9
hex7b83fbe0

2072247264 has 36 divisors (see below), whose sum is σ = 5892953976. Its totient is φ = 690748992.

The previous prime is 2072247263. The next prime is 2072247323. The reversal of 2072247264 is 4627422702.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072247263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3597364 + ... + 3597939.

It is an arithmetic number, because the mean of its divisors is an integer number (163693166).

Almost surely, 22072247264 is an apocalyptic number.

2072247264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2072247264 is an abundant number, since it is smaller than the sum of its proper divisors (3820706712).

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

2072247264 is a wasteful number, since it uses less digits than its factorization.

2072247264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195319 (or 7195308 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2072247264 is about 45521.9426650489. The cubic root of 2072247264 is about 1274.9129278485.

Adding to 2072247264 its reverse (4627422702), we get a palindrome (6699669966).

The spelling of 2072247264 in words is "two billion, seventy-two million, two hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7195303 14390606 21585909 28781212 43171818 57562424 64757727 86343636 115124848 129515454 172687272 230249696 259030908 345374544 518061816 690749088 1036123632 2072247264