Search a number
-
+
2225577618420 = 22351311489248351
BaseRepresentation
bin100000011000101110110…
…000110110101111110100
321212202121022221011210020
4200120232300312233310
5242430440332242140
64422225524125140
7316535613424122
oct40305660665764
97782538834706
102225577618420
117889535aa302
122bb3b95367b0
13131b4297a1b0
1479a0b916912
153cd5bbc06d0
hex2062ec36bf4

2225577618420 has 96 divisors (see below), whose sum is σ = 6711583656960. Its totient is φ = 547784601600.

The previous prime is 2225577618353. The next prime is 2225577618421. The reversal of 2225577618420 is 248167755222.

2225577618420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22255776184202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225577618421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8837245 + ... + 9085595.

It is an arithmetic number, because the mean of its divisors is an integer number (69912329760).

Almost surely, 22225577618420 is an apocalyptic number.

2225577618420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225577618420 is an abundant number, since it is smaller than the sum of its proper divisors (4486006038540).

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

2225577618420 is a wasteful number, since it uses less digits than its factorization.

2225577618420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259865 (or 259863 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 2225577618420 in words is "two trillion, two hundred twenty-five billion, five hundred seventy-seven million, six hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 11489 22978 34467 45956 57445 68934 114890 137868 149357 172335 229780 248351 298714 344670 448071 496702 597428 689340 745053 746785 896142 993404 1241755 1490106 1493570 1792284 2240355 2483510 2980212 2987140 3228563 3725265 4480710 4967020 6457126 7450530 8961420 9685689 12914252 14901060 16142815 19371378 32285630 38742756 48428445 64571260 96856890 193713780 2853304639 5706609278 8559913917 11413218556 14266523195 17119827834 28533046390 34239655668 37092960307 42799569585 57066092780 74185920614 85599139170 111278880921 148371841228 171198278340 185464801535 222557761842 370929603070 445115523684 556394404605 741859206140 1112788809210 2225577618420