Search a number
-
+
2022000102 = 2321967791117
BaseRepresentation
bin111100010000101…
…0100010111100110
312012220202020200200
41320201110113212
513120113000402
6532350251330
7101051501013
oct17041242746
95186666620
102022000102
11948403671
124851b6b46
13262baac85
1415278470a
15bc7ab21c
hex788545e6

2022000102 has 96 divisors (see below), whose sum is σ = 4743897600. Its totient is φ = 620478144.

The previous prime is 2022000091. The next prime is 2022000119. The reversal of 2022000102 is 2010002202.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1809648 + ... + 1810764.

It is an arithmetic number, because the mean of its divisors is an integer number (49415600).

Almost surely, 22022000102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371948800).

2022000102 is an abundant number, since it is smaller than the sum of its proper divisors (2721897498).

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

2022000102 is a wasteful number, since it uses less digits than its factorization.

2022000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022000102 is about 44966.6554460080. The cubic root of 2022000102 is about 1264.5239454983.

Adding to 2022000102 its reverse (2010002202), we get a palindrome (4032002304).

The spelling of 2022000102 in words is "two billion, twenty-two million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 38 57 67 79 114 134 158 171 201 237 342 402 474 603 711 1117 1206 1273 1422 1501 2234 2546 3002 3351 3819 4503 5293 6702 7638 9006 10053 10586 11457 13509 15879 20106 21223 22914 27018 31758 42446 47637 63669 74839 88243 95274 100567 127338 149678 176486 191007 201134 224517 264729 301701 382014 449034 529458 603402 673551 794187 905103 1347102 1421941 1588374 1676617 1810206 2843882 3353234 4265823 5029851 5912281 8531646 10059702 11824562 12797469 15089553 17736843 25594938 30179106 35473686 53210529 106421058 112333339 224666678 337000017 674000034 1011000051 2022000102