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2246680422 = 2337193110091
BaseRepresentation
bin1000010111101001…
…1001111101100110
312210120112012011000
42011322121331212
514100122233142
61010534054130
7106450316460
oct20572317546
95716465130
102246680422
11a53213288
125284aa346
1329a5c6acc
1417454d130
15d238d14c
hex85e99f66

2246680422 has 128 divisors (see below), whose sum is σ = 6200524800. Its totient is φ = 588448800.

The previous prime is 2246680421. The next prime is 2246680427. The reversal of 2246680422 is 2240866422.

2246680422 is a `hidden beast` number, since 224 + 6 + 6 + 8 + 0 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246680421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217597 + ... + 227687.

It is an arithmetic number, because the mean of its divisors is an integer number (48441600).

Almost surely, 22246680422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246680422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100262400).

2246680422 is an abundant number, since it is smaller than the sum of its proper divisors (3953844378).

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

2246680422 is a wasteful number, since it uses less digits than its factorization.

2246680422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2246680422 is about 47399.1605621872. The cubic root of 2246680422 is about 1309.7259535909.

The spelling of 2246680422 in words is "two billion, two hundred forty-six million, six hundred eighty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 31 38 42 54 57 62 63 93 114 126 133 171 186 189 217 266 279 342 378 399 434 513 558 589 651 798 837 1026 1178 1197 1302 1674 1767 1953 2394 3534 3591 3906 4123 5301 5859 7182 8246 10091 10602 11718 12369 15903 20182 24738 30273 31806 37107 60546 70637 74214 90819 111321 141274 181638 191729 211911 222642 272457 312821 383458 423822 544914 575187 625642 635733 938463 1150374 1271466 1342103 1725561 1876926 1907199 2189747 2684206 2815389 3451122 3814398 4026309 4379494 5176683 5630778 5943599 6569241 8052618 8446167 10353366 11887198 12078927 13138482 16892334 17830797 19707723 24157854 35661594 36236781 39415446 41605193 53492391 59123169 72473562 83210386 106984782 118246338 124815579 160477173 249631158 320954346 374446737 748893474 1123340211 2246680422