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1214251008 = 2213193
BaseRepresentation
bin100100001100000…
…0000000000000000
310010121211100020120
41020120000000000
54441322013013
6320253340240
742042651255
oct11030000000
93117740216
101214251008
1157345a833
1229a797680
13164743c29
14b739d42c
1571903123
hex48600000

1214251008 has 88 divisors (see below), whose sum is σ = 3254779128. Its totient is φ = 402653184.

The previous prime is 1214250991. The next prime is 1214251009. The reversal of 1214251008 is 8001524121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214251009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6291360 + ... + 6291552.

Almost surely, 21214251008 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 1214251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627389564).

1214251008 is an abundant number, since it is smaller than the sum of its proper divisors (2040528120).

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

1214251008 is an frugal number, since it uses more digits than its factorization.

1214251008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1214251008 is about 34846.1046316514. The cubic root of 1214251008 is about 1066.8486800510.

Multiplying 1214251008 by its sum of digits (24), we get a palindrome (29142024192).

Adding to 1214251008 its reverse (8001524121), we get a palindrome (9215775129).

The spelling of 1214251008 in words is "one billion, two hundred fourteen million, two hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 512 579 768 772 1024 1158 1536 1544 2048 2316 3072 3088 4096 4632 6144 6176 8192 9264 12288 12352 16384 18528 24576 24704 32768 37056 49152 49408 65536 74112 98304 98816 131072 148224 196608 197632 262144 296448 393216 395264 524288 592896 786432 790528 1048576 1185792 1572864 1581056 2097152 2371584 3145728 3162112 4743168 6291456 6324224 9486336 12648448 18972672 25296896 37945344 50593792 75890688 101187584 151781376 202375168 303562752 404750336 607125504 1214251008