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2272412640 = 25354734193
BaseRepresentation
bin1000011101110010…
…0100001111100000
312212100221112010010
42013130210033200
514123214201030
61013253404520
7110212121511
oct20734441740
95770845103
102272412640
11a66799283
12535039740
132a2a36384
14177b2aa08
15d47726b0
hex877243e0

2272412640 has 48 divisors (see below), whose sum is σ = 7158101328. Its totient is φ = 605976576.

The previous prime is 2272412633. The next prime is 2272412647. The reversal of 2272412640 is 462142722.

It is an interprime number because it is at equal distance from previous prime (2272412633) and next prime (2272412647).

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2272412598 and 2272412607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272412647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2366617 + ... + 2367576.

It is an arithmetic number, because the mean of its divisors is an integer number (149127111).

Almost surely, 22272412640 is an apocalyptic number.

2272412640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272412640 is an abundant number, since it is smaller than the sum of its proper divisors (4885688688).

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

2272412640 is a wasteful number, since it uses less digits than its factorization.

2272412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734211 (or 4734203 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2272412640 is about 47669.8294521808. The cubic root of 2272412640 is about 1314.7072729077.

The spelling of 2272412640 in words is "two billion, two hundred seventy-two million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4734193 9468386 14202579 18936772 23670965 28405158 37873544 47341930 56810316 71012895 75747088 94683860 113620632 142025790 151494176 189367720 227241264 284051580 378735440 454482528 568103160 757470880 1136206320 2272412640