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102214144 = 29199637
BaseRepresentation
bin1100001011110…
…10101000000000
321010100000110001
412011322220000
5202131323034
614050445344
72350543264
oct605725000
9233300401
10102214144
1152773aaa
122a293854
131823a556
14d80a0a4
158e90a14
hex617aa00

102214144 has 20 divisors (see below), whose sum is σ = 204229674. Its totient is φ = 51106816.

The previous prime is 102214141. The next prime is 102214159. The reversal of 102214144 is 441412201.

It can be written as a sum of positive squares in only one way, i.e., 100000000 + 2214144 = 10000^2 + 1488^2 .

It is not an unprimeable number, because it can be changed into a prime (102214141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99307 + ... + 100330.

Almost surely, 2102214144 is an apocalyptic number.

It is an amenable number.

102214144 is a deficient number, since it is larger than the sum of its proper divisors (102015530).

102214144 is an frugal number, since it uses more digits than its factorization.

102214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199655 (or 199639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 102214144 is about 10110.1010875263. The cubic root of 102214144 is about 467.5596217819.

Adding to 102214144 its reverse (441412201), we get a palindrome (543626345).

It can be divided in two parts, 10221 and 4144, that added together give a triangular number (14365 = T169).

The spelling of 102214144 in words is "one hundred two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 199637 399274 798548 1597096 3194192 6388384 12776768 25553536 51107072 102214144