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1005222474 = 23619131277
BaseRepresentation
bin111011111010100…
…111101001001010
32121001111121000000
4323322213221022
54024314104344
6243425223430
733624151524
oct7372475112
92531447000
101005222474
11476470583
12240791b76
131303482c9
149770aa14
155d3b3a69
hex3bea7a4a

1005222474 has 112 divisors (see below), whose sum is σ = 2406523680. Its totient is φ = 313878240.

The previous prime is 1005222443. The next prime is 1005222479. The reversal of 1005222474 is 4742225001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1005222479) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3628824 + ... + 3629100.

Almost surely, 21005222474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005222474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203261840).

1005222474 is an abundant number, since it is smaller than the sum of its proper divisors (1401301206).

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

1005222474 is a wasteful number, since it uses less digits than its factorization.

1005222474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1005222474 is about 31705.2436357143. The cubic root of 1005222474 is about 1001.7378029582.

Adding to 1005222474 its reverse (4742225001), we get a palindrome (5747447475).

The spelling of 1005222474 in words is "one billion, five million, two hundred twenty-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 131 162 171 243 262 277 342 393 486 513 554 729 786 831 1026 1179 1458 1539 1662 2358 2489 2493 3078 3537 4617 4978 4986 5263 7074 7467 7479 9234 10526 10611 13851 14934 14958 15789 21222 22401 22437 27702 31578 31833 36287 44802 44874 47367 63666 67203 67311 72574 94734 95499 108861 134406 134622 142101 190998 201609 201933 217722 284202 326583 403218 403866 426303 604827 653166 689453 852606 979749 1209654 1278909 1378906 1814481 1959498 2068359 2557818 2939247 3628962 3836727 4136718 5878494 6205077 7673454 8817741 12410154 17635482 18615231 26453223 37230462 52906446 55845693 111691386 167537079 335074158 502611237 1005222474