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3222034144 = 25721168171
BaseRepresentation
bin1100000000001100…
…0101011011100000
322022112211021220221
43000003011123200
523044320043034
61251415212424
7142562560360
oct30003053340
98275737827
103222034144
111403832a3a
1275b077114
133c46b4aa4
14227cc29a0
1513cd01bb4
hexc00c56e0

3222034144 has 48 divisors (see below), whose sum is σ = 7284041856. Its totient is φ = 1374307200.

The previous prime is 3222034103. The next prime is 3222034181. The reversal of 3222034144 is 4414302223.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13179 + ... + 81349.

It is an arithmetic number, because the mean of its divisors is an integer number (151750872).

Almost surely, 23222034144 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 3222034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642020928).

3222034144 is an abundant number, since it is smaller than the sum of its proper divisors (4062007712).

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

3222034144 is a wasteful number, since it uses less digits than its factorization.

3222034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68399 (or 68391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3222034144 is about 56762.9645455556. The cubic root of 3222034144 is about 1476.9871359746.

Adding to 3222034144 its reverse (4414302223), we get a palindrome (7636336367).

The spelling of 3222034144 in words is "three billion, two hundred twenty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1477 1688 2954 3376 5908 6752 11816 23632 47264 68171 136342 272684 477197 545368 954394 1090736 1908788 2181472 3817576 7635152 14384081 15270304 28768162 57536324 100688567 115072648 201377134 230145296 402754268 460290592 805508536 1611017072 3222034144