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2248654720 = 27513270271
BaseRepresentation
bin1000011000000111…
…1011111110000000
312210201020111101011
42012001323332000
514101123422340
61011044250304
7106503151444
oct20601737600
95721214334
102248654720
11a54341634
125290a0994
1329ab38630
14174904824
15d262d0ea
hex8607bf80

2248654720 has 64 divisors (see below), whose sum is σ = 5789226240. Its totient is φ = 830269440.

The previous prime is 2248654643. The next prime is 2248654721. The reversal of 2248654720 is 274568422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248654721) 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, 126816 + ... + 143455.

It is an arithmetic number, because the mean of its divisors is an integer number (90456660).

Almost surely, 22248654720 is an apocalyptic number.

2248654720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248654720 is an abundant number, since it is smaller than the sum of its proper divisors (3540571520).

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

2248654720 is a wasteful number, since it uses less digits than its factorization.

2248654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270303 (or 270291 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 2248654720 is about 47419.9822859520. The cubic root of 2248654720 is about 1310.1094871876.

The spelling of 2248654720 in words is "two billion, two hundred forty-eight million, six hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 270271 540542 1081084 1351355 2162168 2702710 3513523 4324336 5405420 7027046 8648672 10810840 14054092 17297344 17567615 21621680 28108184 34594688 35135230 43243360 56216368 70270460 86486720 112432736 140540920 172973440 224865472 281081840 449730944 562163680 1124327360 2248654720