Search a number
-
+
2022220032 = 28371931949
BaseRepresentation
bin111100010001000…
…1010000100000000
312012221011102101020
41320202022010000
513120142020112
6532355105440
7101053405140
oct17042120400
95187142336
102022220032
11948543928
124852a2280
13262c57101
14152800920
15bc80148c
hex7888a100

2022220032 has 144 divisors (see below), whose sum is σ = 6185961600. Its totient is φ = 574488576.

The previous prime is 2022220019. The next prime is 2022220043. The reversal of 2022220032 is 2300222202.

It is a junction number, because it is equal to n+sod(n) for n = 2022219993 and 2022220020.

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, 1036594 + ... + 1038542.

Almost surely, 22022220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092980800).

2022220032 is an abundant number, since it is smaller than the sum of its proper divisors (4163741568).

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

2022220032 is a wasteful number, since it uses less digits than its factorization.

2022220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2022220032 is about 44969.1008582560. The cubic root of 2022220032 is about 1264.5697906442.

Adding to 2022220032 its reverse (2300222202), we get a palindrome (4322442234).

The spelling of 2022220032 in words is "two billion, twenty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 193 224 256 336 384 386 448 579 672 768 772 896 1158 1344 1351 1544 1792 1949 2316 2688 2702 3088 3898 4053 4632 5376 5404 5847 6176 7796 8106 9264 10808 11694 12352 13643 15592 16212 18528 21616 23388 24704 27286 31184 32424 37056 40929 43232 46776 49408 54572 62368 64848 74112 81858 86464 93552 109144 124736 129696 148224 163716 172928 187104 218288 249472 259392 327432 345856 374208 376157 436576 498944 518784 654864 748416 752314 873152 1037568 1128471 1309728 1496832 1504628 1746304 2256942 2619456 2633099 3009256 3492608 4513884 5238912 5266198 6018512 7899297 9027768 10477824 10532396 12037024 15798594 18055536 21064792 24074048 31597188 36111072 42129584 48148096 63194376 72222144 84259168 96296192 126388752 144444288 168518336 252777504 288888576 337036672 505555008 674073344 1011110016 2022220032