Search a number
-
+
20301332220 = 223251311877309
BaseRepresentation
bin10010111010000011…
…011011111011111100
31221101211112112100100
4102322003123323330
5313034120112340
613154252001100
71316041322331
oct227203337374
957354475310
1020301332220
118678633414
123b26a60190
131bb6c50c20
14da8324988
157dc43e830
hex4ba0dbefc

20301332220 has 144 divisors (see below), whose sum is σ = 66382636320. Its totient is φ = 4992357888.

The previous prime is 20301332203. The next prime is 20301332269. The reversal of 20301332220 is 2223310302.

It is a happy number.

20301332220 is a `hidden beast` number, since 20 + 301 + 3 + 322 + 20 = 666.

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 = 20301332193 and 20301332202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2773926 + ... + 2781234.

It is an arithmetic number, because the mean of its divisors is an integer number (460990530).

Almost surely, 220301332220 is an apocalyptic number.

20301332220 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 20301332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33191318160).

20301332220 is an abundant number, since it is smaller than the sum of its proper divisors (46081304100).

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

20301332220 is a wasteful number, since it uses less digits than its factorization.

20301332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20301332220 its reverse (2223310302), we get a palindrome (22524642522).

The spelling of 20301332220 in words is "twenty billion, three hundred one million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1187 2340 2374 3561 4748 5935 7122 7309 10683 11870 14244 14618 15431 17805 21366 21927 23740 29236 30862 35610 36545 42732 43854 46293 53415 61724 65781 71220 73090 77155 87708 92586 95017 106830 109635 131562 138879 146180 154310 185172 190034 213660 219270 231465 263124 277758 285051 308620 328905 380068 438540 462930 475085 555516 570102 657810 694395 855153 925860 950170 1140204 1315620 1388790 1425255 1710306 1900340 2777580 2850510 3420612 4275765 5701020 8551530 8675783 17103060 17351566 26027349 34703132 43378915 52054698 78082047 86757830 104109396 112785179 130136745 156164094 173515660 225570358 260273490 312328188 338355537 390410235 451140716 520546980 563925895 676711074 780820470 1015066611 1127851790 1353422148 1561640940 1691777685 2030133222 2255703580 3383555370 4060266444 5075333055 6767110740 10150666110 20301332220