Search a number
-
+
222629148 = 22347237379
BaseRepresentation
bin11010100010100…
…00110100011100
3120111220201210000
431101100310130
5423443113043
634031414300
75342213400
oct1521206434
9514821700
10222629148
11104739635
1262684390
133717b331
14217d3100
15148292d3
hexd450d1c

222629148 has 180 divisors, whose sum is σ = 697148760. Its totient is φ = 61725888.

The previous prime is 222629131. The next prime is 222629159. The reversal of 222629148 is 841926222.

222629148 is a `hidden beast` number, since 2 + 22 + 629 + 1 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 587223 + ... + 587601.

Almost surely, 2222629148 is an apocalyptic number.

222629148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222629148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348574380).

222629148 is an abundant number, since it is smaller than the sum of its proper divisors (474519612).

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

222629148 is a wasteful number, since it uses less digits than its factorization.

222629148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 222629148 is about 14920.7623129651. The cubic root of 222629148 is about 606.0763554411.

The spelling of 222629148 in words is "two hundred twenty-two million, six hundred twenty-nine thousand, one hundred forty-eight".