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2246551340 = 2251124321589
BaseRepresentation
bin1000010111100111…
…1010011100101100
312210120021122002012
42011321322130230
514100104120330
61010531220352
7106446241235
oct20571723454
95716248065
102246551340
11a53135300
125284476b8
1329a580127
1417451808c
15d2364c95
hex85e7a72c

2246551340 has 72 divisors (see below), whose sum is σ = 5306476560. Its totient is φ = 797892480.

The previous prime is 2246551303. The next prime is 2246551379. The reversal of 2246551340 is 431556422.

It is a junction number, because it is equal to n+sod(n) for n = 2246551297 and 2246551306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93266 + ... + 114854.

Almost surely, 22246551340 is an apocalyptic number.

2246551340 is a gapful number since it is divisible by the number (20) 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 2246551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653238280).

2246551340 is an abundant number, since it is smaller than the sum of its proper divisors (3059925220).

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

2246551340 is a wasteful number, since it uses less digits than its factorization.

2246551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21663 (or 21650 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2246551340 is about 47397.7988940415. The cubic root of 2246551340 is about 1309.7008698745.

The spelling of 2246551340 in words is "two billion, two hundred forty-six million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 430 473 484 605 860 946 1210 1892 2365 2420 4730 5203 9460 10406 20812 21589 26015 43178 52030 86356 104060 107945 215890 237479 431780 474958 928327 949916 1187395 1856654 2374790 2612269 3713308 4641635 4749580 5224538 9283270 10211597 10449076 13061345 18566540 20423194 26122690 40846388 51057985 52245380 102115970 112327567 204231940 224655134 449310268 561637835 1123275670 2246551340