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2226003472 = 2471137471039
BaseRepresentation
bin1000010010101110…
…0001111000010000
312202010121200201001
42010223201320100
514024324102342
61004514551344
7106106501020
oct20453417020
95663550631
102226003472
11a425803a0
12521598554
13296237524
141718c9a80
15d06568b7
hex84ae1e10

2226003472 has 160 divisors (see below), whose sum is σ = 5645352960. Its totient is φ = 825085440.

The previous prime is 2226003467. The next prime is 2226003473. The reversal of 2226003472 is 2743006222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2226003472.

It is not an unprimeable number, because it can be changed into a prime (2226003473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141929 + ... + 2142967.

It is an arithmetic number, because the mean of its divisors is an integer number (35283456).

Almost surely, 22226003472 is an apocalyptic number.

2226003472 is a gapful number since it is divisible by the number (22) 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 2226003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822676480).

2226003472 is an abundant number, since it is smaller than the sum of its proper divisors (3419349488).

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

2226003472 is a wasteful number, since it uses less digits than its factorization.

2226003472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2226003472 is about 47180.5412431863. The cubic root of 2226003472 is about 1305.6956155995.

Adding to 2226003472 its reverse (2743006222), we get a palindrome (4969009694).

The spelling of 2226003472 in words is "two billion, two hundred twenty-six million, three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 47 56 74 77 88 94 112 148 154 176 188 259 296 308 329 376 407 517 518 592 616 658 752 814 1034 1036 1039 1232 1316 1628 1739 2068 2072 2078 2632 2849 3256 3478 3619 4136 4144 4156 5264 5698 6512 6956 7238 7273 8272 8312 11396 11429 12173 13912 14476 14546 16624 19129 22792 22858 24346 27824 28952 29092 38258 38443 45584 45716 48692 48833 57904 58184 76516 76886 80003 91432 97384 97666 116368 133903 153032 153772 160006 182864 194768 195332 267806 269101 306064 307544 320012 341831 390664 422873 535612 537163 538202 615088 640024 683662 781328 845746 1071224 1074326 1076404 1280048 1367324 1691492 1806821 2142448 2148652 2152808 2734648 2960111 3382984 3613642 3760141 4297304 4305616 5469296 5920222 6765968 7227284 7520282 8594608 11840444 12647747 14454568 15040564 19875031 23680888 25295494 28909136 30081128 39750062 47361776 50590988 60162256 79500124 101181976 139125217 159000248 202363952 278250434 318000496 556500868 1113001736 2226003472