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2122333020 = 2232541287579
BaseRepresentation
bin111111010000000…
…0011101101011100
312110220112200120200
41332200003231130
513321304124040
6550332543500
7103410350553
oct17640035534
95426480520
102122333020
1199a002235
124b2921b90
1327a90a172
14161c20d9a
15c64c9630
hex7e803b5c

2122333020 has 72 divisors (see below), whose sum is σ = 6594784560. Its totient is φ = 552149760.

The previous prime is 2122332997. The next prime is 2122333039. The reversal of 2122333020 is 203332212.

It is a happy number.

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 = 2122332984 and 2122333002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136410 + ... + 151169.

It is an arithmetic number, because the mean of its divisors is an integer number (91594230).

Almost surely, 22122333020 is an apocalyptic number.

2122333020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122333020 is an abundant number, since it is smaller than the sum of its proper divisors (4472451540).

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

2122333020 is a wasteful number, since it uses less digits than its factorization.

2122333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287635 (or 287630 counting only the distinct ones).

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

The square root of 2122333020 is about 46068.7857447969. The cubic root of 2122333020 is about 1285.1027225890.

Adding to 2122333020 its reverse (203332212), we get a palindrome (2325665232).

The spelling of 2122333020 in words is "two billion, one hundred twenty-two million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 287579 575158 862737 1150316 1437895 1725474 2588211 2875790 3450948 4313685 5176422 5751580 8627370 10352844 11790739 12941055 17254740 23581478 25882110 35372217 47162956 51764220 58953695 70744434 106116651 117907390 141488868 176861085 212233302 235814780 353722170 424466604 530583255 707444340 1061166510 2122333020