Search a number
-
+
2220244404240 = 243537250027523
BaseRepresentation
bin100000010011110000111…
…000010000100000010000
321212020211122112211022010
4200103300320100200100
5242334030031413430
64415544410542520
7316256504023542
oct40236070204020
97766748484263
102220244404240
117866670a2585
122ba36b437a40
131314a2a91865
14796634b7692
153cb48898cb0
hex204f0e10810

2220244404240 has 80 divisors (see below), whose sum is σ = 7068778158528. Its totient is φ = 576063410688.

The previous prime is 2220244404197. The next prime is 2220244404283. The reversal of 2220244404240 is 424044420222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220244404197) and next prime (2220244404283).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2220244404198 and 2220244404207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125004882 + ... + 125022641.

Almost surely, 22220244404240 is an apocalyptic number.

2220244404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220244404240 is an abundant number, since it is smaller than the sum of its proper divisors (4848533754288).

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

2220244404240 is a wasteful number, since it uses less digits than its factorization.

2220244404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250027576 (or 250027570 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2220244404240 its reverse (424044420222), we get a palindrome (2644288824462).

It can be divided in two parts, 222024 and 4404240, that added together give a palindrome (4626264).

The spelling of 2220244404240 in words is "two trillion, two hundred twenty billion, two hundred forty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 250027523 500055046 750082569 1000110092 1250137615 1500165138 2000220184 2500275230 3000330276 3750412845 4000440368 5000550460 6000660552 7500825690 9251018351 10001100920 12001321104 15001651380 18502036702 20002201840 27753055053 30003302760 37004073404 46255091755 55506110106 60006605520 74008146808 92510183510 111012220212 138765275265 148016293616 185020367020 222024440424 277530550530 370040734040 444048880848 555061101060 740081468080 1110122202120 2220244404240