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1212153856 = 222172
BaseRepresentation
bin100100001000000…
…0000000000000000
310010110212210111021
41020100000000000
54440302410411
6320140355224
742016065154
oct11020000000
93113783437
101212153856
11572258151
12299b45b14
1316418b504
14b6db5064
157163ba71
hex48400000

1212153856 has 69 divisors (see below), whose sum is σ = 2575302349. Its totient is φ = 570425344.

The previous prime is 1212153827. The next prime is 1212153857. The reversal of 1212153856 is 6583512121.

The square root of 1212153856 is 34816.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 943718400 + 268435456 = 30720^2 + 16384^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1212153857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 71303160 + ... + 71303176.

Almost surely, 21212153856 is an apocalyptic number.

1212153856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1212153856 is the 34816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212153856

1212153856 is an abundant number, since it is smaller than the sum of its proper divisors (1363148493).

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

1212153856 is an frugal number, since it uses more digits than its factorization.

1212153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 19 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The cubic root of 1212153856 is about 1066.2341357445.

Multiplying 1212153856 by its product of digits (14400), we get a square (17455015526400 = 41779202).

Adding to 1212153856 its reverse (6583512121), we get a palindrome (7795665977).

The spelling of 1212153856 in words is "one billion, two hundred twelve million, one hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2048 2176 2312 4096 4352 4624 8192 8704 9248 16384 17408 18496 32768 34816 36992 65536 69632 73984 131072 139264 147968 262144 278528 295936 524288 557056 591872 1048576 1114112 1183744 2097152 2228224 2367488 4194304 4456448 4734976 8912896 9469952 17825792 18939904 35651584 37879808 71303168 75759616 151519232 303038464 606076928 1212153856