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1252226664 = 2332131778697
BaseRepresentation
bin100101010100011…
…0111011001101000
310020021021201001100
41022220313121220
510031032223124
6324131321400
743013515413
oct11250673150
93207251040
101252226664
11592938477
122ab450260
1316c57c230
14bc446b7a
1574e051c9
hex4aa37668

1252226664 has 96 divisors (see below), whose sum is σ = 3867219720. Its totient is φ = 362631168.

The previous prime is 1252226663. The next prime is 1252226669. The reversal of 1252226664 is 4666222521.

It can be written as a sum of positive squares in 4 ways, for example, as 683404164 + 568822500 = 26142^2 + 23850^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1252226663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23437 + ... + 55260.

Almost surely, 21252226664 is an apocalyptic number.

It is an amenable number.

1252226664 is an abundant number, since it is smaller than the sum of its proper divisors (2614993056).

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

1252226664 is a wasteful number, since it uses less digits than its factorization.

1252226664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78739 (or 78732 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1252226664 is about 35386.8148326464. The cubic root of 1252226664 is about 1077.8565925508.

The spelling of 1252226664 in words is "one billion, two hundred fifty-two million, two hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2652 3978 5304 7956 15912 78697 157394 236091 314788 472182 629576 708273 944364 1023061 1337849 1416546 1888728 2046122 2675698 2833092 3069183 4013547 4092244 5351396 5666184 6138366 8027094 8184488 9207549 10702792 12040641 12276732 16054188 17392037 18415098 24081282 24553464 32108376 34784074 36830196 48162564 52176111 69568148 73660392 96325128 104352222 139136296 156528333 208704444 313056666 417408888 626113332 1252226664