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2275204734 = 2331143281317
BaseRepresentation
bin1000011110011100…
…1101111001111110
312212120012101011000
42013213031321332
514124423022414
61013433311130
7110244630645
oct20747157176
95776171130
102275204734
11a68325aa0
12535b654a6
132a34a31ba
1417825635c
15d4b24b09
hex879cde7e

2275204734 has 128 divisors (see below), whose sum is σ = 5681871360. Its totient is φ = 668908800.

The previous prime is 2275204721. The next prime is 2275204747. The reversal of 2275204734 is 4374025722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2275204721) and next prime (2275204747).

It is a super-3 number, since 3×22752047343 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 7177144 + ... + 7177460.

It is an arithmetic number, because the mean of its divisors is an integer number (44389620).

Almost surely, 22275204734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2275204734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840935680).

2275204734 is an abundant number, since it is smaller than the sum of its proper divisors (3406666626).

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

2275204734 is a wasteful number, since it uses less digits than its factorization.

2275204734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 2275204734 is about 47699.1062180414. The cubic root of 2275204734 is about 1315.2455090578.

The spelling of 2275204734 in words is "two billion, two hundred seventy-five million, two hundred four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 281 297 317 387 473 562 594 634 774 843 946 951 1161 1419 1686 1902 2322 2529 2838 2853 3091 3487 4257 5058 5706 6182 6974 7587 8514 8559 9273 10461 12083 12771 13631 15174 17118 18546 20922 24166 25542 27262 27819 31383 36249 40893 55638 62766 72498 81786 83457 89077 94149 108747 122679 132913 149941 166914 178154 188298 217494 245358 265826 267231 299882 326241 368037 398739 449823 534462 652482 736074 797478 801693 899646 979847 1196217 1349469 1603386 1959694 2392434 2405079 2698938 2939541 3588651 3830311 4048407 4810158 5879082 7177302 7660622 8096814 8818623 11490933 17637246 22981866 26455869 34472799 42133421 52911738 68945598 84266842 103418397 126400263 206836794 252800526 379200789 758401578 1137602367 2275204734