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22772070 = 23351923193
BaseRepresentation
bin101011011011…
…1100101100110
31120211221102000
41112313211212
521312201240
62132030130
7364362606
oct126674546
946757360
1022772070
1111943aa2
127762346
1349440c9
14304ac06
151eec430
hex15b7966

22772070 has 128 divisors (see below), whose sum is σ = 67046400. Its totient is φ = 5474304.

The previous prime is 22772059. The next prime is 22772081. The reversal of 22772070 is 7027722.

It is an interprime number because it is at equal distance from previous prime (22772059) and next prime (22772081).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117894 + ... + 118086.

It is an arithmetic number, because the mean of its divisors is an integer number (523800).

Almost surely, 222772070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22772070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33523200).

22772070 is an abundant number, since it is smaller than the sum of its proper divisors (44274330).

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

22772070 is a wasteful number, since it uses less digits than its factorization.

22772070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 22772070 is about 4772.0090108884. The cubic root of 22772070 is about 283.4441534966. Note that the first 3 decimals are identical.

Adding to 22772070 its reverse (7027722), we get a palindrome (29799792).

The spelling of 22772070 in words is "twenty-two million, seven hundred seventy-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 27 30 38 45 46 54 57 69 90 95 114 115 135 138 171 190 193 207 230 270 285 342 345 386 414 437 513 570 579 621 690 855 874 965 1026 1035 1158 1242 1311 1710 1737 1930 2070 2185 2565 2622 2895 3105 3474 3667 3933 4370 4439 5130 5211 5790 6210 6555 7334 7866 8685 8878 10422 11001 11799 13110 13317 17370 18335 19665 22002 22195 23598 26055 26634 33003 36670 39330 39951 44390 52110 55005 58995 66006 66585 79902 84341 99009 110010 117990 119853 133170 165015 168682 198018 199755 239706 253023 330030 399510 421705 495045 506046 599265 759069 843410 990090 1198530 1265115 1518138 2277207 2530230 3795345 4554414 7590690 11386035 22772070