Search a number
-
+
2229449952 = 25376130517
BaseRepresentation
bin1000010011100010…
…1011010011100000
312202101002210101110
42010320223103200
514031214344302
61005120503320
7106151004042
oct20470532340
95671083343
102229449952
11a44514824
1252277ab40
13296b73172
14172145a92
15d0ad7b6c
hex84e2b4e0

2229449952 has 48 divisors (see below), whose sum is σ = 5860188432. Its totient is φ = 742149120.

The previous prime is 2229449951. The next prime is 2229450107. The reversal of 2229449952 is 2599449222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2229449951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 57798 + ... + 88314.

It is an arithmetic number, because the mean of its divisors is an integer number (122087259).

Almost surely, 22229449952 is an apocalyptic number.

It is an amenable number.

2229449952 is an abundant number, since it is smaller than the sum of its proper divisors (3630738480).

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

2229449952 is a wasteful number, since it uses less digits than its factorization.

2229449952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31291 (or 31283 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 2229449952 is about 47217.0514962550. The cubic root of 2229449952 is about 1306.3691295791.

The spelling of 2229449952 in words is "two billion, two hundred twenty-nine million, four hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 761 1522 2283 3044 4566 6088 9132 12176 18264 24352 30517 36528 61034 73056 91551 122068 183102 244136 366204 488272 732408 976544 1464816 2929632 23223437 46446874 69670311 92893748 139340622 185787496 278681244 371574992 557362488 743149984 1114724976 2229449952