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2248480290 = 235723345953
BaseRepresentation
bin1000011000000101…
…0001011000100010
312210200220122002210
42012001101120202
514101102332130
61011040422550
7106501524060
oct20601213042
95720818083
102248480290
11a54232581
12529017a56
1329aaa7114
1417489b030
15d25e65b0
hex86051622

2248480290 has 64 divisors (see below), whose sum is σ = 6193863936. Its totient is φ = 511721472.

The previous prime is 2248480243. The next prime is 2248480291. The reversal of 2248480290 is 920848422.

It is a super-2 number, since 2×22484802902 = 10111327229036968200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2248480291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25954 + ... + 71906.

It is an arithmetic number, because the mean of its divisors is an integer number (96779124).

Almost surely, 22248480290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248480290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096931968).

2248480290 is an abundant number, since it is smaller than the sum of its proper divisors (3945383646).

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

2248480290 is a wasteful number, since it uses less digits than its factorization.

2248480290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46203.

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2248480290 is about 47418.1430467284. The cubic root of 2248480290 is about 1310.0756108874.

The spelling of 2248480290 in words is "two billion, two hundred forty-eight million, four hundred eighty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 233 466 699 1165 1398 1631 2330 3262 3495 4893 6990 8155 9786 16310 24465 45953 48930 91906 137859 229765 275718 321671 459530 643342 689295 965013 1378590 1608355 1930026 3216710 4825065 9650130 10707049 21414098 32121147 53535245 64242294 74949343 107070490 149898686 160605735 224848029 321211470 374746715 449696058 749493430 1124240145 2248480290