Search a number
-
+
2269970740 = 225232415233
BaseRepresentation
bin1000011101001101…
…0000000100110100
312212012100110110101
42013103100010310
514122103030430
61013125203444
7110152301332
oct20723200464
95765313411
102269970740
11a65380684
12534260584
132a238ca6b
14177692b52
15d443ddca
hex874d0134

2269970740 has 72 divisors (see below), whose sum is σ = 5105725128. Its totient is φ = 847165440.

The previous prime is 2269970723. The next prime is 2269970741. The reversal of 2269970740 is 470799622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 246050596 + 2023920144 = 15686^2 + 44988^2 .

It is a super-2 number, since 2×22699707402 = 10305534320912295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269970741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431164 + ... + 436396.

It is an arithmetic number, because the mean of its divisors is an integer number (70912849).

Almost surely, 22269970740 is an apocalyptic number.

2269970740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269970740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552862564).

2269970740 is an abundant number, since it is smaller than the sum of its proper divisors (2835754388).

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

2269970740 is a wasteful number, since it uses less digits than its factorization.

2269970740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5329 (or 5304 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 2269970740 is about 47644.2099315331. The cubic root of 2269970740 is about 1314.2361826571.

It can be divided in two parts, 22699 and 70740, that added together give a palindrome (93439).

The spelling of 2269970740 in words is "two billion, two hundred sixty-nine million, nine hundred seventy thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 529 820 943 1058 1886 2116 2645 3772 4715 5233 5290 9430 10466 10580 18860 20932 21689 26165 43378 52330 86756 104660 108445 120359 214553 216890 240718 429106 433780 481436 601795 858212 1072765 1203590 2145530 2407180 2768257 4291060 4934719 5536514 9869438 11073028 13841285 19738876 24673595 27682570 49347190 55365140 98694380 113498537 226997074 453994148 567492685 1134985370 2269970740