Search a number
-
+
332211220 = 2251110114951
BaseRepresentation
bin10011110011010…
…010010000010100
3212011010002010021
4103303102100110
51140021224340
652544234524
711142514555
oct2363222024
9764102107
10332211220
11160585230
129330ba44
1353a983b3
143219a32c
151e272e4a
hex13cd2414

332211220 has 48 divisors (see below), whose sum is σ = 768652416. Its totient is φ = 119600000.

The previous prime is 332211203. The next prime is 332211223. The reversal of 332211220 is 22112233.

It is a super-2 number, since 2×3322112202 = 220728589387776800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332211194 and 332211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332211223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14745 + ... + 29695.

It is an arithmetic number, because the mean of its divisors is an integer number (16013592).

Almost surely, 2332211220 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 332211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384326208).

332211220 is an abundant number, since it is smaller than the sum of its proper divisors (436441196).

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

332211220 is a wasteful number, since it uses less digits than its factorization.

332211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15072 (or 15070 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 332211220 is about 18226.6623384535. The cubic root of 332211220 is about 692.5823697457.

Adding to 332211220 its reverse (22112233), we get a palindrome (354323453).

It can be divided in two parts, 3 and 32211220, that added together give a palindrome (32211223).

The spelling of 332211220 in words is "three hundred thirty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 14951 22220 29902 59804 74755 149510 164461 299020 328922 657844 822305 1510051 1644610 3020102 3289220 6040204 7550255 15100510 16610561 30201020 33221122 66442244 83052805 166105610 332211220