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1226506848 = 253721913723
BaseRepresentation
bin100100100011011…
…0000001001100000
310011110220000002120
41021012300021200
510002441204343
6321412144240
742252064500
oct11106601140
93143800076
101226506848
1157a370826
122a2908080
131671454c8
14b8c6da00
1572a24683
hex491b0260

1226506848 has 144 divisors (see below), whose sum is σ = 3942630720. Its totient is φ = 331962624.

The previous prime is 1226506823. The next prime is 1226506873. The reversal of 1226506848 is 8486056221.

It is an interprime number because it is at equal distance from previous prime (1226506823) and next prime (1226506873).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82515 + ... + 96237.

It is an arithmetic number, because the mean of its divisors is an integer number (27379380).

Almost surely, 21226506848 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 1226506848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971315360).

1226506848 is an abundant number, since it is smaller than the sum of its proper divisors (2716123872).

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

1226506848 is a wasteful number, since it uses less digits than its factorization.

1226506848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13769 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 1226506848 is about 35021.5197842698. The cubic root of 1226506848 is about 1070.4260241996.

The spelling of 1226506848 in words is "one billion, two hundred twenty-six million, five hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11172 12768 13723 14896 22344 27446 29792 41169 44688 54892 82338 89376 96061 109784 164676 192122 219568 260737 288183 329352 384244 439136 521474 576366 658704 672427 768488 782211 1042948 1152732 1317408 1344854 1536976 1564422 1825159 2017281 2085896 2305464 2689708 3073952 3128844 3650318 4034562 4171792 4610928 5379416 5475477 6257688 7300636 8069124 8343584 9221856 10758832 10950954 12515376 12776113 14601272 16138248 21517664 21901908 25030752 25552226 29202544 32276496 38328339 43803816 51104452 58405088 64552992 76656678 87607632 102208904 153313356 175215264 204417808 306626712 408835616 613253424 1226506848