Search a number
-
+
2229681948 = 2231329348781
BaseRepresentation
bin1000010011100110…
…0011111100011100
312202101112120121220
42010321203330130
514031244310243
61005125453340
7106152661314
oct20471437434
95671476556
102229681948
11a4466305a
12522871250
13296c24940
141721a6444
15d0b31783
hex84e63f1c

2229681948 has 48 divisors (see below), whose sum is σ = 5622027936. Its totient is φ = 683700480.

The previous prime is 2229681887. The next prime is 2229681953. The reversal of 2229681948 is 8491869222.

2229681948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2229681948.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21318 + ... + 70098.

It is an arithmetic number, because the mean of its divisors is an integer number (117125582).

Almost surely, 22229681948 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 2229681948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811013968).

2229681948 is an abundant number, since it is smaller than the sum of its proper divisors (3392345988).

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

2229681948 is a wasteful number, since it uses less digits than its factorization.

2229681948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49094 (or 49092 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 2229681948 is about 47219.5081295856. The cubic root of 2229681948 is about 1306.4144414882.

The spelling of 2229681948 in words is "two billion, two hundred twenty-nine million, six hundred eighty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 879 1172 1758 3516 3809 7618 11427 15236 22854 45708 48781 97562 146343 195124 292686 585372 634153 1268306 1902459 2536612 3804918 7609836 14292833 28585666 42878499 57171332 85756998 171513996 185806829 371613658 557420487 743227316 1114840974 2229681948