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2226127428 = 2233723171327
BaseRepresentation
bin1000010010110000…
…0000001001000100
312202010211222202000
42010230000021010
514024342034203
61004521345300
7106110525300
oct20454001104
95663758660
102226127428
11a42655538
12521638230
1329627ba85
1417191cd00
15d067d4a3
hex84b00244

2226127428 has 144 divisors (see below), whose sum is σ = 6739971840. Its totient is φ = 633552192.

The previous prime is 2226127367. The next prime is 2226127429. The reversal of 2226127428 is 8247216222.

2226127428 is a `hidden beast` number, since 2 + 226 + 1 + 2 + 7 + 428 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2226127392 and 2226127401.

It is not an unprimeable number, because it can be changed into a prime (2226127429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676901 + ... + 1678227.

It is an arithmetic number, because the mean of its divisors is an integer number (46805360).

Almost surely, 22226127428 is an apocalyptic number.

2226127428 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 2226127428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369985920).

2226127428 is an abundant number, since it is smaller than the sum of its proper divisors (4513844412).

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

2226127428 is a wasteful number, since it uses less digits than its factorization.

2226127428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1656 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 2226127428 is about 47181.8548596810. The cubic root of 2226127428 is about 1305.7198512313.

The spelling of 2226127428 in words is "two billion, two hundred twenty-six million, one hundred twenty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 317 378 441 588 634 756 882 951 1268 1323 1327 1764 1902 2219 2646 2654 2853 3804 3981 4438 5292 5308 5706 6657 7962 8559 8876 9289 11412 11943 13314 15533 15924 17118 18578 19971 23886 26628 27867 31066 34236 35829 37156 39942 46599 47772 55734 59913 62132 65023 71658 79884 83601 93198 111468 119826 130046 139797 143316 167202 186396 195069 239652 250803 260092 279594 334404 390138 419391 420659 501606 559188 585207 780276 838782 841318 1003212 1170414 1261977 1677564 1682636 1755621 2340828 2523954 2944613 3511242 3785931 5047908 5889226 7022484 7571862 8833839 11357793 11778452 15143724 17667678 20612291 22715586 26501517 35335356 41224582 45431172 53003034 61836873 79504551 82449164 106006068 123673746 159009102 185510619 247347492 318018204 371021238 556531857 742042476 1113063714 2226127428