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2228748288 = 219313109
BaseRepresentation
bin1000010011011000…
…0000000000000000
312202022210010212220
42010312000000000
514031024421123
61005053451040
7106142022264
oct20466000000
95668703786
102228748288
11a44085638
125224a0a80
13296988990
141720020a4
15d09e9ce3
hex84d80000

2228748288 has 160 divisors (see below), whose sum is σ = 6459222000. Its totient is φ = 679477248.

The previous prime is 2228748251. The next prime is 2228748307. The reversal of 2228748288 is 8828478222.

It is a self number, because there is not a number n which added to its sum of digits gives 2228748288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20447178 + ... + 20447286.

Almost surely, 22228748288 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 2228748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229611000).

2228748288 is an abundant number, since it is smaller than the sum of its proper divisors (4230473712).

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

2228748288 is an frugal number, since it uses more digits than its factorization.

2228748288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 51.

The square root of 2228748288 is about 47209.6207144264. The cubic root of 2228748288 is about 1306.2320661198.

The spelling of 2228748288 in words is "two billion, two hundred twenty-eight million, seven hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 256 312 327 384 416 436 512 624 654 768 832 872 1024 1248 1308 1417 1536 1664 1744 2048 2496 2616 2834 3072 3328 3488 4096 4251 4992 5232 5668 6144 6656 6976 8192 8502 9984 10464 11336 12288 13312 13952 16384 17004 19968 20928 22672 24576 26624 27904 32768 34008 39936 41856 45344 49152 53248 55808 65536 68016 79872 83712 90688 98304 106496 111616 131072 136032 159744 167424 181376 196608 212992 223232 262144 272064 319488 334848 362752 393216 425984 446464 524288 544128 638976 669696 725504 786432 851968 892928 1088256 1277952 1339392 1451008 1572864 1703936 1785856 2176512 2555904 2678784 2902016 3407872 3571712 4353024 5111808 5357568 5804032 6815744 7143424 8706048 10223616 10715136 11608064 14286848 17412096 20447232 21430272 23216128 28573696 34824192 42860544 46432256 57147392 69648384 85721088 92864512 139296768 171442176 185729024 278593536 371458048 557187072 742916096 1114374144 2228748288