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874222272 = 263271123857
BaseRepresentation
bin110100000110111…
…001001011000000
32020221000002111200
4310012321023000
53242300103042
6222425341200
730443523660
oct6406711300
92227002450
10874222272
11409526150
12204937800
1310c16c4b1
148416a1a0
1551b38c4c
hex341b92c0

874222272 has 336 divisors, whose sum is σ = 3263749632. Its totient is φ = 216944640.

The previous prime is 874222253. The next prime is 874222303. The reversal of 874222272 is 272222478.

874222272 is a `hidden beast` number, since 8 + 7 + 422 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019668 + ... + 1020524.

Almost surely, 2874222272 is an apocalyptic number.

874222272 is the 14784-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631874816).

874222272 is an abundant number, since it is smaller than the sum of its proper divisors (2389527360).

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

874222272 is a wasteful number, since it uses less digits than its factorization.

874222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 874222272 is about 29567.2499904878. The cubic root of 874222272 is about 956.1821283111.

The spelling of 874222272 in words is "eight hundred seventy-four million, two hundred twenty-two thousand, two hundred seventy-two".