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2250562664 = 237474671831
BaseRepresentation
bin1000011000100100…
…1101110001101000
312210211211102120202
42012021031301220
514102121001124
61011153211332
7106525316120
oct20611156150
95724742522
102250562664
11a55425049
12529860b48
1329b355bac
14174c7dc80
15d28a85ae
hex8624dc68

2250562664 has 64 divisors (see below), whose sum is σ = 4938485760. Its totient is φ = 941469120.

The previous prime is 2250562649. The next prime is 2250562687. The reversal of 2250562664 is 4662650522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228229 + ... + 1230059.

It is an arithmetic number, because the mean of its divisors is an integer number (77163840).

Almost surely, 22250562664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250562664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469242880).

2250562664 is an abundant number, since it is smaller than the sum of its proper divisors (2687923096).

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

2250562664 is a wasteful number, since it uses less digits than its factorization.

2250562664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2250562664 is about 47440.0955311011. The cubic root of 2250562664 is about 1310.4799173959.

The spelling of 2250562664 in words is "two billion, two hundred fifty million, five hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 467 658 934 1316 1831 1868 2632 3269 3662 3736 6538 7324 12817 13076 14648 21949 25634 26152 43898 51268 86057 87796 102536 153643 172114 175592 307286 344228 602399 614572 688456 855077 1204798 1229144 1710154 2409596 3420308 4819192 5985539 6840616 11971078 23942156 40188619 47884312 80377238 160754476 281320333 321508952 562640666 1125281332 2250562664