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2220244628 = 227412431097
BaseRepresentation
bin1000010001010110…
…0011111010010100
312201201210010001112
42010111203322110
514021340312003
61004151314152
7106006524260
oct20425437224
95651703045
102220244628
11a3a2a7718
1251b67b958
13294c9c224
14170c2b0a0
15cedba3d8
hex84563e94

2220244628 has 72 divisors (see below), whose sum is σ = 4661528256. Its totient is φ = 905909760.

The previous prime is 2220244627. The next prime is 2220244661. The reversal of 2220244628 is 8264420222.

It is a junction number, because it is equal to n+sod(n) for n = 2220244594 and 2220244603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220244627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2023376 + ... + 2024472.

It is an arithmetic number, because the mean of its divisors is an integer number (64743448).

Almost surely, 22220244628 is an apocalyptic number.

2220244628 is a gapful number since it is divisible by the number (28) 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 2220244628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330764128).

2220244628 is an abundant number, since it is smaller than the sum of its proper divisors (2441283628).

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

2220244628 is a wasteful number, since it uses less digits than its factorization.

2220244628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2220244628 is about 47119.4718561233. The cubic root of 2220244628 is about 1304.5686645221.

The spelling of 2220244628 in words is "two billion, two hundred twenty million, two hundred forty-four thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 41 43 82 86 164 172 287 301 574 602 1097 1148 1204 1681 1763 2194 3362 3526 4388 6724 7052 7679 11767 12341 15358 23534 24682 30716 44977 47068 47171 49364 72283 89954 94342 144566 179908 188684 289132 314839 330197 505981 629678 660394 1011962 1259356 1320788 1844057 1934011 2023924 3688114 3868022 7376228 7736044 12908399 13538077 25816798 27076154 51633596 54152308 79294451 158588902 317177804 555061157 1110122314 2220244628