Search a number
-
+
1226419152 = 243753611129
BaseRepresentation
bin100100100011001…
…1010101111010000
310011110201112210120
41021012122233100
510002430403102
6321410230240
742251251020
oct11106325720
93143645716
101226419152
1157a310952
122a2885380
1316711460a
14b8c49a80
1572a086bc
hex4919abd0

1226419152 has 160 divisors (see below), whose sum is σ = 3752974080. Its totient is φ = 337858560.

The previous prime is 1226419141. The next prime is 1226419189. The reversal of 1226419152 is 2519146221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085724 + ... + 1086852.

It is an arithmetic number, because the mean of its divisors is an integer number (23456088).

Almost surely, 21226419152 is an apocalyptic number.

1226419152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226419152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876487040).

1226419152 is an abundant number, since it is smaller than the sum of its proper divisors (2526554928).

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

1226419152 is a wasteful number, since it uses less digits than its factorization.

1226419152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1255 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 1226419152 is about 35020.2677317007. The cubic root of 1226419152 is about 1070.4005115501.

The spelling of 1226419152 in words is "one billion, two hundred twenty-six million, four hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 61 84 106 112 122 159 168 183 212 244 318 336 366 371 424 427 488 636 732 742 848 854 976 1113 1129 1272 1281 1464 1484 1708 2226 2258 2544 2562 2928 2968 3233 3387 3416 4452 4516 5124 5936 6466 6774 6832 7903 8904 9032 9699 10248 12932 13548 15806 17808 18064 19398 20496 22631 23709 25864 27096 31612 38796 45262 47418 51728 54192 59837 63224 67893 68869 77592 90524 94836 119674 126448 135786 137738 155184 179511 181048 189672 206607 239348 271572 275476 359022 362096 379344 413214 418859 478696 482083 543144 550952 718044 826428 837718 957392 964166 1086288 1101904 1256577 1436088 1446249 1652856 1675436 1928332 2513154 2872176 2892498 3305712 3350872 3650057 3856664 5026308 5784996 6701744 7300114 7713328 10052616 10950171 11569992 14600228 20105232 21900342 23139984 25550399 29200456 43800684 51100798 58400912 76651197 87601368 102201596 153302394 175202736 204403192 306604788 408806384 613209576 1226419152