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22022136 = 23322953199
BaseRepresentation
bin101010000000…
…0011111111000
31112102211200200
41110000133320
521114202021
62104002200
7355120323
oct124003770
945384620
1022022136
1111481614
127460360
134740966
142cd37ba
151e00126
hex15007f8

22022136 has 96 divisors (see below), whose sum is σ = 63180000. Its totient is φ = 6918912.

The previous prime is 22022131. The next prime is 22022153. The reversal of 22022136 is 63122022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022131) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110565 + ... + 110763.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 222022136 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 22022136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590000).

22022136 is an abundant number, since it is smaller than the sum of its proper divisors (41157864).

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

22022136 is a wasteful number, since it uses less digits than its factorization.

22022136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

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

The square root of 22022136 is about 4692.7748720773. The cubic root of 22022136 is about 280.2978802642.

Adding to 22022136 its reverse (63122022), we get a palindrome (85144158).

It can be divided in two parts, 22022 and 136, that multiplied together give a palindrome (2994992).

The spelling of 22022136 in words is "twenty-two million, twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 53 58 72 87 106 116 159 174 199 212 232 261 318 348 398 424 477 522 597 636 696 796 954 1044 1194 1272 1537 1592 1791 1908 2088 2388 3074 3582 3816 4611 4776 5771 6148 7164 9222 10547 11542 12296 13833 14328 17313 18444 21094 23084 27666 31641 34626 36888 42188 46168 51939 55332 63282 69252 84376 94923 103878 110664 126564 138504 189846 207756 253128 305863 379692 415512 611726 759384 917589 1223452 1835178 2446904 2752767 3670356 5505534 7340712 11011068 22022136