Search a number
-
+
261140022 = 2321121323401
BaseRepresentation
bin11111001000010…
…10111000110110
3200012101021202200
433210022320312
51013322440042
641525045330
76320440113
oct1744127066
9605337680
10261140022
11124452400
1273556846
1342143130
142697990a
1517dd4c4c
hexf90ae36

261140022 has 144 divisors (see below), whose sum is σ = 700618464. Its totient is φ = 69696000.

The previous prime is 261140021. The next prime is 261140023. The reversal of 261140022 is 220041162.

261140022 is a `hidden beast` number, since 261 + 1 + 400 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (261140021) and next prime (261140023).

It is a super-2 number, since 2×2611400222 = 136388222180320968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 261139977 and 261140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261140021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 651022 + ... + 651422.

It is an arithmetic number, because the mean of its divisors is an integer number (4865406).

Almost surely, 2261140022 is an apocalyptic number.

261140022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350309232).

261140022 is an abundant number, since it is smaller than the sum of its proper divisors (439478442).

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

261140022 is a wasteful number, since it uses less digits than its factorization.

261140022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 261140022 is about 16159.8274124447. The cubic root of 261140022 is about 639.1819153349.

Adding to 261140022 its reverse (220041162), we get a palindrome (481181184).

The spelling of 261140022 in words is "two hundred sixty-one million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 33 39 46 66 69 78 99 117 121 138 143 198 207 234 242 253 286 299 363 401 414 429 506 598 726 759 802 858 897 1089 1203 1287 1518 1573 1794 2178 2277 2406 2574 2691 2783 3146 3289 3609 4411 4554 4719 5213 5382 5566 6578 7218 8349 8822 9223 9438 9867 10426 13233 14157 15639 16698 18446 19734 25047 26466 27669 28314 29601 31278 36179 39699 46917 48521 50094 55338 57343 59202 72358 79398 83007 93834 97042 101453 108537 114686 119899 145563 166014 172029 202906 217074 239798 291126 304359 325611 344058 359697 436689 516087 608718 630773 651222 719394 873378 913077 1032174 1079091 1115983 1261546 1318889 1826154 1892319 2158182 2231966 2637778 3347949 3784638 3956667 5676957 6695898 7913334 10043847 11353914 11870001 14507779 20087694 23740002 29015558 43523337 87046674 130570011 261140022