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22141332 = 22324311427
BaseRepresentation
bin101010001110…
…1100110010100
31112122220012100
41110131212110
521132010312
62110322100
7356124663
oct124354624
945586170
1022141332
1111553124
1274b9330
134782ca5
142d24dda
151e255dc
hex151d994

22141332 has 36 divisors (see below), whose sum is σ = 56137536. Its totient is φ = 7358160.

The previous prime is 22141319. The next prime is 22141349. The reversal of 22141332 is 23314122.

22141332 is a `hidden beast` number, since 221 + 413 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14803 + ... + 16229.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 222141332 is an apocalyptic number.

It is an amenable number.

22141332 is an abundant number, since it is smaller than the sum of its proper divisors (33996204).

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

22141332 is a wasteful number, since it uses less digits than its factorization.

22141332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1863 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22141332 is about 4705.4576823089. The cubic root of 22141332 is about 280.8026797416.

Adding to 22141332 its reverse (23314122), we get a palindrome (45455454).

It can be divided in two parts, 221413 and 32, that added together give a triangular number (221445 = T665).

The spelling of 22141332 in words is "twenty-two million, one hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1427 1724 2586 2854 3879 4281 5172 5708 7758 8562 12843 15516 17124 25686 51372 615037 1230074 1845111 2460148 3690222 5535333 7380444 11070666 22141332