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2246292048 = 2437111346751
BaseRepresentation
bin1000010111100011…
…1011001001010000
312210112210110101210
42011320323021100
514100022321143
61010521500120
7106444111260
oct20570731120
95715713353
102246292048
11a52a78510
12528341640
1329a4bc0c0
1417448b7a0
15d2313033
hex85e3b250

2246292048 has 160 divisors (see below), whose sum is σ = 7791501312. Its totient is φ = 538560000.

The previous prime is 2246292019. The next prime is 2246292091. The reversal of 2246292048 is 8402926422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2246291997 and 2246292015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24673 + ... + 71423.

Almost surely, 22246292048 is an apocalyptic number.

2246292048 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 2246292048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895750656).

2246292048 is an abundant number, since it is smaller than the sum of its proper divisors (5545209264).

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

2246292048 is a wasteful number, since it uses less digits than its factorization.

2246292048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46793 (or 46787 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2246292048 is about 47395.0635404153. The cubic root of 2246292048 is about 1309.6504803407.

The spelling of 2246292048 in words is "two billion, two hundred forty-six million, two hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 46751 48048 93502 140253 187004 280506 327257 374008 514261 561012 607763 654514 748016 981771 1028522 1122024 1215526 1309028 1542783 1823289 1963542 2057044 2244048 2431052 2618056 3085566 3599827 3646578 3927084 4114088 4254341 4862104 5236112 6171132 6685393 7199654 7293156 7854168 8228176 8508682 9724208 10799481 12342264 12763023 13370786 14399308 14586312 15708336 17017364 20056179 21598962 24684528 25526046 26741572 28798616 29172624 34034728 40112358 43197924 46797751 51052092 53483144 57597232 68069456 80224716 86395848 93595502 102104184 106966288 140393253 160449432 172791696 187191004 204208368 280786506 320898864 374382008 561573012 748764016 1123146024 2246292048