Search a number
-
+
2264808 = 2337131761
BaseRepresentation
bin1000101000111011101000
311021001201210
420220323220
51034433213
6120313120
725151640
oct10507350
94231653
102264808
111307647
129127a0
13613b30
1442d520
152eb0c3
hex228ee8

2264808 has 128 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 552960.

The previous prime is 2264803. The next prime is 2264809. The reversal of 2264808 is 8084622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264803) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37098 + ... + 37158.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

22264808 is an apocalyptic number.

2264808 is a gapful number since it is divisible by the number (28) 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 2264808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2264808 is an abundant number, since it is smaller than the sum of its proper divisors (5234712).

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

2264808 is a wasteful number, since it uses less digits than its factorization.

2264808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2264808 is about 1504.9279052499. The cubic root of 2264808 is about 131.3239075808.

The spelling of 2264808 in words is "two million, two hundred sixty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 61 68 78 84 91 102 104 119 122 136 156 168 182 183 204 221 238 244 273 312 357 364 366 408 427 442 476 488 546 663 714 728 732 793 854 884 952 1037 1092 1281 1326 1428 1464 1547 1586 1708 1768 2074 2184 2379 2562 2652 2856 3094 3111 3172 3416 4148 4641 4758 5124 5304 5551 6188 6222 6344 7259 8296 9282 9516 10248 11102 12376 12444 13481 14518 16653 18564 19032 21777 22204 24888 26962 29036 33306 37128 40443 43554 44408 53924 58072 66612 80886 87108 94367 107848 133224 161772 174216 188734 283101 323544 377468 566202 754936 1132404 2264808