Search a number
-
+
2273000976 = 24322921372
BaseRepresentation
bin1000011101111011…
…0011111000010000
312212102001102011100
42013132303320100
514123342012401
61013314144400
7110220122001
oct20736637020
95772042140
102273000976
11a67060304
12535282100
132a2bb10bc
14177c411a8
15d483bb86
hex877b3e10

2273000976 has 135 divisors (see below), whose sum is σ = 6636602791. Its totient is φ = 726200832.

The previous prime is 2273000969. The next prime is 2273000999. The reversal of 2273000976 is 6790003722.

The square root of 2273000976 is 47676.

It is a perfect power (a square), and thus also a powerful number.

2273000976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28515600 + 2244485376 = 5340^2 + 47376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2273000976.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16591180 + ... + 16591316.

Almost surely, 22273000976 is an apocalyptic number.

2273000976 is the 47676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273000976

2273000976 is an abundant number, since it is smaller than the sum of its proper divisors (4363601815).

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

2273000976 is a wasteful number, since it uses less digits than its factorization.

2273000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The cubic root of 2273000976 is about 1314.8207239686.

Multiplying 2273000976 by its sum of digits (36), we get a square (81828035136 = 2860562).

2273000976 divided by its sum of digits (36) gives a square (63138916 = 79462).

The spelling of 2273000976 in words is "two billion, two hundred seventy-three million, nine hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 137 144 174 232 261 274 348 411 464 522 548 696 822 841 1044 1096 1233 1392 1644 1682 2088 2192 2466 2523 3288 3364 3973 4176 4932 5046 6576 6728 7569 7946 9864 10092 11919 13456 15138 15892 18769 19728 20184 23838 30276 31784 35757 37538 40368 47676 56307 60552 63568 71514 75076 95352 112614 115217 121104 143028 150152 168921 190704 225228 230434 286056 300304 337842 345651 450456 460868 544301 572112 675684 691302 900912 921736 1036953 1088602 1351368 1382604 1632903 1843472 2073906 2177204 2702736 2765208 3265806 4147812 4354408 4898709 5530416 6531612 8295624 8708816 9797418 13063224 15784729 16591248 19594836 26126448 31569458 39189672 47354187 63138916 78379344 94708374 126277832 142062561 189416748 252555664 284125122 378833496 568250244 757666992 1136500488 2273000976