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2930422176 = 2532114719681
BaseRepresentation
bin1010111010101010…
…1011000110100000
321120020002212111200
42232222223012200
522000142002201
61202441041200
7132422114613
oct25652530640
97506085450
102930422176
111274168610
12699486200
13379162c26
141db29417a
151223ed386
hexaeaab1a0

2930422176 has 144 divisors (see below), whose sum is σ = 9284865408. Its totient is φ = 869068800.

The previous prime is 2930422171. The next prime is 2930422177. The reversal of 2930422176 is 6712240392.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2930422176.

It is not an unprimeable number, because it can be changed into a prime (2930422171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139056 + ... + 158736.

It is an arithmetic number, because the mean of its divisors is an integer number (64478232).

Almost surely, 22930422176 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 2930422176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642432704).

2930422176 is an abundant number, since it is smaller than the sum of its proper divisors (6354443232).

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

2930422176 is a wasteful number, since it uses less digits than its factorization.

2930422176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19755 (or 19744 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2930422176 is about 54133.3739572918. The cubic root of 2930422176 is about 1431.0124012421.

The spelling of 2930422176 in words is "two billion, nine hundred thirty million, four hundred twenty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1504 1551 1584 1692 2068 2256 3102 3168 3384 4136 4512 4653 6204 6768 8272 9306 12408 13536 16544 18612 19681 24816 37224 39362 49632 59043 74448 78724 118086 148896 157448 177129 216491 236172 314896 354258 432982 472344 629792 649473 708516 865964 925007 944688 1298946 1417032 1731928 1850014 1889376 1948419 2597892 2775021 2834064 3463856 3700028 3896838 5195784 5550042 5668128 6927712 7400056 7793676 8325063 10175077 10391568 11100084 14800112 15587352 16650126 20350154 20783136 22200168 29600224 30525231 31174704 33300252 40700308 44400336 61050462 62349408 66600504 81400616 88800672 91575693 122100924 133201008 162801232 183151386 244201848 266402016 325602464 366302772 488403696 732605544 976807392 1465211088 2930422176