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1225214414208 = 27321063554179
BaseRepresentation
bin10001110101000100011…
…110000100110110000000
311100010111022002001210100
4101311010132010312000
5130033214342223313
62334504501002400
7154342645454511
oct21650436046600
94303438061710
101225214414208
11432679660744
121795559b3400
138b6ca384325
144342d166a08
1521d0d613173
hex11d44784d80

1225214414208 has 48 divisors (see below), whose sum is σ = 3525682106700. Its totient is φ = 408404804352.

The previous prime is 1225214414201. The next prime is 1225214414213. The reversal of 1225214414208 is 8024144125221.

1225214414208 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 1 + 441 + 4 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225214414201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 531775938 + ... + 531778241.

Almost surely, 21225214414208 is an apocalyptic number.

1225214414208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1225214414208 is an abundant number, since it is smaller than the sum of its proper divisors (2300467692492).

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

1225214414208 is a wasteful number, since it uses less digits than its factorization.

1225214414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063554199 (or 1063554184 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 1225214414208 its reverse (8024144125221), we get a palindrome (9249358539429).

The spelling of 1225214414208 in words is "one trillion, two hundred twenty-five billion, two hundred fourteen million, four hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1063554179 2127108358 3190662537 4254216716 6381325074 8508433432 9571987611 12762650148 17016866864 19143975222 25525300296 34033733728 38287950444 51050600592 68067467456 76575900888 102101201184 136134934912 153151801776 204202402368 306303603552 408404804736 612607207104 1225214414208