Search a number
-
+
2228279480 = 235741194101
BaseRepresentation
bin1000010011010000…
…1101100010111000
312202021220022210122
42010310031202320
514030414420410
61005035432412
7106135030430
oct20464154270
95667808718
102228279480
11a43895399
125222b5708
1329685348b
14171d1d2c0
15d0955e55
hex84d0d8b8

2228279480 has 64 divisors (see below), whose sum is σ = 5869644480. Its totient is φ = 745344000.

The previous prime is 2228279419. The next prime is 2228279483. The reversal of 2228279480 is 849728222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228279483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85571 + ... + 108530.

It is an arithmetic number, because the mean of its divisors is an integer number (91713195).

Almost surely, 22228279480 is an apocalyptic number.

2228279480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2228279480 is an abundant number, since it is smaller than the sum of its proper divisors (3641365000).

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

2228279480 is a wasteful number, since it uses less digits than its factorization.

2228279480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194160 (or 194156 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 2228279480 is about 47204.6552789023. The cubic root of 2228279480 is about 1306.1404728568.

The spelling of 2228279480 in words is "two billion, two hundred twenty-eight million, two hundred seventy-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 11480 194101 388202 776404 970505 1358707 1552808 1941010 2717414 3882020 5434828 6793535 7764040 7958141 10869656 13587070 15916282 27174140 31832564 39790705 54348280 55706987 63665128 79581410 111413974 159162820 222827948 278534935 318325640 445655896 557069870 1114139740 2228279480