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22114470 = 2357314379
BaseRepresentation
bin101010001011…
…1000010100110
31112121112100110
41110113002212
521130130340
62105553450
7355653450
oct124270246
945545313
1022114470
1111534a24
1274a5886
1347739b1
142d192d0
151e1c680
hex15170a6

22114470 has 128 divisors (see below), whose sum is σ = 64880640. Its totient is φ = 4717440.

The previous prime is 22114459. The next prime is 22114471. The reversal of 22114470 is 7441122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114471) 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 63 ways as a sum of consecutive naturals, for example, 279891 + ... + 279969.

It is an arithmetic number, because the mean of its divisors is an integer number (506880).

Almost surely, 222114470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32440320).

22114470 is an abundant number, since it is smaller than the sum of its proper divisors (42766170).

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

22114470 is a wasteful number, since it uses less digits than its factorization.

22114470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 22114470 is about 4702.6024709729. The cubic root of 22114470 is about 280.6890766092.

Adding to 22114470 its reverse (7441122), we get a palindrome (29555592).

The spelling of 22114470 in words is "twenty-two million, one hundred fourteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 43 62 70 79 86 93 105 129 155 158 186 210 215 217 237 258 301 310 395 430 434 465 474 553 602 645 651 790 903 930 1085 1106 1185 1290 1302 1333 1505 1659 1806 2170 2370 2449 2666 2765 3010 3255 3318 3397 3999 4515 4898 5530 6510 6665 6794 7347 7998 8295 9030 9331 10191 12245 13330 14694 16590 16985 17143 18662 19995 20382 23779 24490 27993 33970 34286 36735 39990 46655 47558 50955 51429 55986 71337 73470 85715 93310 101910 102858 105307 118895 139965 142674 171430 210614 237790 257145 279930 315921 356685 514290 526535 631842 713370 737149 1053070 1474298 1579605 2211447 3159210 3685745 4422894 7371490 11057235 22114470