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2228975232 = 273112931801
BaseRepresentation
bin1000010011011011…
…0111011010000000
312202100012200012020
42010312313122000
514031104201412
61005102401440
7106143656031
oct20466673200
95670180166
102228975232
11a442200a0
12522590280
13296a38073
14172060a88
15d0a4218c
hex84db7680

2228975232 has 128 divisors (see below), whose sum is σ = 6484605120. Its totient is φ = 672768000.

The previous prime is 2228975191. The next prime is 2228975249. The reversal of 2228975232 is 2325798222.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1236732 + ... + 1238532.

Almost surely, 22228975232 is an apocalyptic number.

2228975232 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 2228975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242302560).

2228975232 is an abundant number, since it is smaller than the sum of its proper divisors (4255629888).

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

2228975232 is a wasteful number, since it uses less digits than its factorization.

2228975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2110 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2228975232 is about 47212.0242311215. The cubic root of 2228975232 is about 1306.2764006416.

The spelling of 2228975232 in words is "two billion, two hundred twenty-eight million, nine hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 293 352 384 528 586 704 879 1056 1172 1408 1758 1801 2112 2344 3223 3516 3602 4224 4688 5403 6446 7032 7204 9376 9669 10806 12892 14064 14408 18752 19338 19811 21612 25784 28128 28816 37504 38676 39622 43224 51568 56256 57632 59433 77352 79244 86448 103136 112512 115264 118866 154704 158488 172896 206272 230528 237732 309408 316976 345792 412544 475464 527693 618816 633952 691584 950928 1055386 1237632 1267904 1583079 1901856 2110772 2535808 3166158 3803712 4221544 5804623 6332316 7607424 8443088 11609246 12664632 16886176 17413869 23218492 25329264 33772352 34827738 46436984 50658528 67544704 69655476 92873968 101317056 139310952 185747936 202634112 278621904 371495872 557243808 742991744 1114487616 2228975232