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2219039472 = 243137614673
BaseRepresentation
bin1000010001000011…
…1101101011110000
312201122111212220010
42010100331223300
514021033230342
61004105414520
7105663344556
oct20420755360
95648455803
102219039472
11a39654221
1251b19a440
13294969810
141709d5bd6
15cec2d29c
hex8443daf0

2219039472 has 80 divisors (see below), whose sum is σ = 6182916768. Its totient is φ = 681738240.

The previous prime is 2219039447. The next prime is 2219039477. The reversal of 2219039472 is 2749309122.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2219039472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219039477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472528 + ... + 477200.

Almost surely, 22219039472 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 2219039472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091458384).

2219039472 is an abundant number, since it is smaller than the sum of its proper divisors (3963877296).

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

2219039472 is a wasteful number, since it uses less digits than its factorization.

2219039472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2219039472 is about 47106.6818190371. The cubic root of 2219039472 is about 1304.3325804309.

The spelling of 2219039472 in words is "two billion, two hundred nineteen million, thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 761 1522 2283 3044 4566 4673 6088 9132 9346 9893 12176 14019 18264 18692 19786 28038 29679 36528 37384 39572 56076 59358 60749 74768 79144 112152 118716 121498 158288 182247 224304 237432 242996 364494 474864 485992 728988 971984 1457976 2915952 3556153 7112306 10668459 14224612 21336918 28449224 42673836 46229989 56898448 85347672 92459978 138689967 170695344 184919956 277379934 369839912 554759868 739679824 1109519736 2219039472