Search a number
-
+
2401226802 = 2331319672687
BaseRepresentation
bin1000111100011111…
…1101000000110010
320012100022221221000
42033013331000302
514404203224202
61034134342430
7113335043142
oct21707750062
96170287830
102401226802
111022480267
125701baa16
132c3628180
1418ac9c922
15e0c1991c
hex8f1fd032

2401226802 has 128 divisors (see below), whose sum is σ = 6141542400. Its totient is φ = 689249088.

The previous prime is 2401226747. The next prime is 2401226813. The reversal of 2401226802 is 2086221042.

It is a happy number.

2401226802 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892303 + ... + 894989.

It is an arithmetic number, because the mean of its divisors is an integer number (47980800).

Almost surely, 22401226802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401226802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070771200).

2401226802 is an abundant number, since it is smaller than the sum of its proper divisors (3740315598).

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

2401226802 is a wasteful number, since it uses less digits than its factorization.

2401226802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2401226802 is about 49002.3142514718. The cubic root of 2401226802 is about 1339.0939895498.

Adding to 2401226802 its reverse (2086221042), we get a palindrome (4487447844).

The spelling of 2401226802 in words is "two billion, four hundred one million, two hundred twenty-six thousand, eight hundred two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 67 78 114 117 134 171 201 234 247 342 351 402 494 513 603 702 741 871 1026 1206 1273 1482 1742 1809 2223 2546 2613 2687 3618 3819 4446 5226 5374 6669 7638 7839 8061 11457 13338 15678 16122 16549 22914 23517 24183 33098 34371 34931 47034 48366 49647 51053 68742 69862 72549 99294 102106 104793 145098 148941 153159 180029 209586 297882 306318 314379 360058 446823 459477 540087 628758 663689 893646 918954 943137 1080174 1327378 1378431 1620261 1886274 1991067 2340377 2756862 3240522 3420551 3982134 4680754 4860783 5973201 6841102 7021131 9721566 10261653 11946402 14042262 17919603 20523306 21063393 30784959 35839206 42126786 44467163 61569918 63190179 88934326 92354877 126380358 133401489 184709754 266802978 400204467 800408934 1200613401 2401226802