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2140203222 = 234233071871
BaseRepresentation
bin111111110010000…
…1110100011010110
312112011011120220000
41333210032203112
513340343000342
6552211552130
7104015266353
oct17744164326
95464146800
102140203222
119a90a83a3
124b88bb646
13281526051
1416435362a
15c7d5944c
hex7f90e8d6

2140203222 has 80 divisors (see below), whose sum is σ = 5023130112. Its totient is φ = 679797360.

The previous prime is 2140203217. The next prime is 2140203227. The reversal of 2140203222 is 2223020412.

It is an interprime number because it is at equal distance from previous prime (2140203217) and next prime (2140203227).

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 = 2140203195 and 2140203204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140203227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1142947 + ... + 1144817.

Almost surely, 22140203222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140203222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511565056).

2140203222 is an abundant number, since it is smaller than the sum of its proper divisors (2882926890).

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

2140203222 is a wasteful number, since it uses less digits than its factorization.

2140203222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2140203222 is about 46262.3304860445. The cubic root of 2140203222 is about 1288.6995331212.

Adding to 2140203222 its reverse (2223020412), we get a palindrome (4363223634).

The spelling of 2140203222 in words is "two billion, one hundred forty million, two hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 307 414 614 621 921 1242 1842 1863 1871 2763 3726 3742 5526 5613 7061 8289 11226 14122 16578 16839 21183 24867 33678 42366 43033 49734 50517 63549 86066 101034 127098 129099 151551 190647 258198 303102 381294 387297 571941 574397 774594 1143882 1148794 1161891 1723191 2323782 3446382 3485673 5169573 6971346 10339146 13211131 15508719 26422262 31017438 39633393 46526157 79266786 93052314 118900179 237800358 356700537 713401074 1070101611 2140203222