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67225152 = 263379463
BaseRepresentation
bin1000000000111…
…00011001000000
311200111101120110
410000130121000
5114202201102
610400511320
71444255461
oct400343100
9150441513
1067225152
1134a46285
121a61b540
1310c097c7
148cdcd68
155d7d86c
hex401c640

67225152 has 56 divisors (see below), whose sum is σ = 182693056. Its totient is φ = 21800448.

The previous prime is 67225141. The next prime is 67225163. The reversal of 67225152 is 25152276.

It is an interprime number because it is at equal distance from previous prime (67225141) and next prime (67225163).

It is a super-2 number, since 2×672251522 = 9038442122846208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2373 + ... + 11835.

It is an arithmetic number, because the mean of its divisors is an integer number (3262376).

Almost surely, 267225152 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 67225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91346528).

67225152 is an abundant number, since it is smaller than the sum of its proper divisors (115467904).

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

67225152 is a wasteful number, since it uses less digits than its factorization.

67225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9505 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 67225152 is about 8199.0945841599. The cubic root of 67225152 is about 406.6092594171.

The spelling of 67225152 in words is "sixty-seven million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 9463 18926 28389 37852 56778 75704 113556 151408 227112 302816 350131 454224 605632 700262 908448 1050393 1400524 1816896 2100786 2801048 4201572 5602096 8403144 11204192 16806288 22408384 33612576 67225152