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1454225664 = 2831939811
BaseRepresentation
bin101011010101101…
…1011100100000000
310202100101022120210
41112223123210000
510434240210124
6400145034120
751015466653
oct12653334400
93670338523
101454225664
116869662a1
12347025940
131a2386378
14db1c989a
1587a06a29
hex56adb900

1454225664 has 72 divisors (see below), whose sum is σ = 3890811232. Its totient is φ = 482181120.

The previous prime is 1454225659. The next prime is 1454225699. The reversal of 1454225664 is 4665224541.

It is a super-2 number, since 2×14542256642 = 4229544563672481792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143319 + ... + 153129.

Almost surely, 21454225664 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 1454225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945405616).

1454225664 is an abundant number, since it is smaller than the sum of its proper divisors (2436585568).

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

1454225664 is an equidigital number, since it uses as much as digits as its factorization.

1454225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10009 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 1454225664 is about 38134.3108499419. The cubic root of 1454225664 is about 1132.9496291226.

The spelling of 1454225664 in words is "one billion, four hundred fifty-four million, two hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 579 768 772 1158 1544 2316 3088 4632 6176 9264 9811 12352 18528 19622 24704 29433 37056 39244 49408 58866 74112 78488 117732 148224 156976 235464 313952 470928 627904 941856 1255808 1883712 1893523 2511616 3767424 3787046 5680569 7534848 7574092 11361138 15148184 22722276 30296368 45444552 60592736 90889104 121185472 181778208 242370944 363556416 484741888 727112832 1454225664