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22350020 = 22571123631
BaseRepresentation
bin101010101000…
…0100011000100
31120001111110112
41111100203010
521210200040
62115012152
7360654260
oct125204304
946044415
1022350020
11116859a0
12759a058
134826c84
142d7b0a0
151e67365
hex15508c4

22350020 has 96 divisors (see below), whose sum is σ = 61157376. Its totient is φ = 6652800.

The previous prime is 22350017. The next prime is 22350077. The reversal of 22350020 is 2005322.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22349977 and 22350004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35105 + ... + 35735.

It is an arithmetic number, because the mean of its divisors is an integer number (637056).

Almost surely, 222350020 is an apocalyptic number.

22350020 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 22350020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30578688).

22350020 is an abundant number, since it is smaller than the sum of its proper divisors (38807356).

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

22350020 is a wasteful number, since it uses less digits than its factorization.

22350020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 22350020 is about 4727.5807766764. The cubic root of 22350020 is about 281.6821360192.

Adding to 22350020 its reverse (2005322), we get a palindrome (24355342).

The spelling of 22350020 in words is "twenty-two million, three hundred fifty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 110 115 140 154 161 220 230 253 308 322 385 460 506 631 644 770 805 1012 1262 1265 1540 1610 1771 2524 2530 3155 3220 3542 4417 5060 6310 6941 7084 8834 8855 12620 13882 14513 17668 17710 22085 27764 29026 34705 35420 44170 48587 58052 69410 72565 88340 97174 101591 138820 145130 159643 194348 203182 242935 290260 319286 406364 485870 507955 638572 798215 971740 1015910 1117501 1596430 2031820 2235002 3192860 4470004 5587505 11175010 22350020