Search a number
-
+
3222632142 = 234193728297
BaseRepresentation
bin1100000000010101…
…0111011011001110
322022120221200020000
43000011113123032
523044443212032
61251440105130
7142600630662
oct30005273316
98276850200
103222632142
111404101254
1275b3051a6
133c4864032
14227dda8a2
1513cdbde7c
hexc01576ce

3222632142 has 80 divisors (see below), whose sum is σ = 7806852240. Its totient is φ = 990133632.

The previous prime is 3222632141. The next prime is 3222632191. The reversal of 3222632142 is 2412362223.

It is a happy number.

3222632142 is a `hidden beast` number, since 3 + 2 + 22 + 632 + 1 + 4 + 2 = 666.

It is a super-3 number, since 3×32226321423 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222632141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99738 + ... + 128034.

It is an arithmetic number, because the mean of its divisors is an integer number (97585653).

Almost surely, 23222632142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222632142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903426120).

3222632142 is an abundant number, since it is smaller than the sum of its proper divisors (4584220098).

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

3222632142 is a wasteful number, since it uses less digits than its factorization.

3222632142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28367 (or 28358 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3222632142 is about 56768.2318026553. The cubic root of 3222632142 is about 1477.0785048302.

Adding to 3222632142 its reverse (2412362223), we get a palindrome (5634994365).

It can be divided in two parts, 3 and 222632142, that multiplied together give a triangular number (667896426 = T36548).

The spelling of 3222632142 in words is "three billion, two hundred twenty-two million, six hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 513 666 703 999 1026 1406 1539 1998 2109 2997 3078 4218 5994 6327 12654 18981 28297 37962 56594 56943 84891 113886 169782 254673 509346 537643 764019 1046989 1075286 1528038 1612929 2093978 2292057 3140967 3225858 4584114 4838787 6281934 9422901 9677574 14516361 18845802 19892791 28268703 29032722 39785582 43549083 56537406 59678373 84806109 87098166 119356746 169612218 179035119 358070238 537105357 1074210714 1611316071 3222632142