Search a number
-
+
8228508440 = 2353723392377
BaseRepresentation
bin1111010100111010…
…10001001100011000
3210020110101112112212
413222131101030120
5113322444232230
63440301254252
7410624111345
oct75235211430
923213345485
108228508440
1135428621a9
121717864388
13a1199c509
14580b8b7cc
153325d6895
hex1ea751318

8228508440 has 64 divisors (see below), whose sum is σ = 19030658400. Its totient is φ = 3199730688.

The previous prime is 8228508397. The next prime is 8228508479. The reversal of 8228508440 is 448058228.

It is a super-2 number, since 2×82285084402 (a number of 21 digits) contains 22 as substring.

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, 3460532 + ... + 3462908.

Almost surely, 28228508440 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 8228508440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515329200).

8228508440 is an abundant number, since it is smaller than the sum of its proper divisors (10802149960).

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

8228508440 is a wasteful number, since it uses less digits than its factorization.

8228508440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 41.

The square root of 8228508440 is about 90711.1263296846. The cubic root of 8228508440 is about 2018.8638874875.

The spelling of 8228508440 in words is "eight billion, two hundred twenty-eight million, five hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2339 2377 4678 4754 9356 9508 11695 11885 18712 19016 23390 23770 46780 47540 86543 87949 93560 95080 173086 175898 346172 351796 432715 439745 692344 703592 865430 879490 1730860 1758980 3461720 3517960 5559803 11119606 22239212 27799015 44478424 55598030 111196060 205712711 222392120 411425422 822850844 1028563555 1645701688 2057127110 4114254220 8228508440