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1225204464 = 2431119711779
BaseRepresentation
bin100100100000111…
…0010001011110000
310011101102211120010
41021001302023300
510002123020324
6321324214520
742235031451
oct11101621360
93141384503
101225204464
11579661280
122a239a440
13166aaa773
14b8a11128
1572868829
hex490722f0

1225204464 has 80 divisors (see below), whose sum is σ = 3470670720. Its totient is φ = 369358080.

The previous prime is 1225204439. The next prime is 1225204469. The reversal of 1225204464 is 4644025221.

It is a super-2 number, since 2×12252044642 = 3002251957211054592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225204469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98127 + ... + 109905.

It is an arithmetic number, because the mean of its divisors is an integer number (43383384).

Almost surely, 21225204464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225204464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735335360).

1225204464 is an abundant number, since it is smaller than the sum of its proper divisors (2245466256).

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

1225204464 is a wasteful number, since it uses less digits than its factorization.

1225204464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11992 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1225204464 is about 35002.9207924139. The cubic root of 1225204464 is about 1070.0470075718.

Adding to 1225204464 its reverse (4644025221), we get a palindrome (5869229685).

The spelling of 1225204464 in words is "one billion, two hundred twenty-five million, two hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 197 264 394 528 591 788 1182 1576 2167 2364 3152 4334 4728 6501 8668 9456 11779 13002 17336 23558 26004 34672 35337 47116 52008 70674 94232 104016 129569 141348 188464 259138 282696 388707 518276 565392 777414 1036552 1554828 2073104 2320463 3109656 4640926 6219312 6961389 9281852 13922778 18563704 25525093 27845556 37127408 51050186 55691112 76575279 102100372 111382224 153150558 204200744 306301116 408401488 612602232 1225204464