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2104022140 = 2251122742131
BaseRepresentation
bin111110101101000…
…1101010001111100
312102122002101202221
41331122031101330
513302112202030
6544440255124
7103065615223
oct17532152174
95378071687
102104022140
1198a735a80
124a87714a4
13276b9881c
1415d615cba
15c4aade7a
hex7d68d47c

2104022140 has 48 divisors (see below), whose sum is σ = 4841472384. Its totient is φ = 761710400.

The previous prime is 2104022087. The next prime is 2104022147. The reversal of 2104022140 is 412204012.

It is a super-2 number, since 2×21040221402 = 8853818331220359200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104022147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28875 + ... + 71005.

It is an arithmetic number, because the mean of its divisors is an integer number (100864008).

Almost surely, 22104022140 is an apocalyptic number.

2104022140 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 2104022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420736192).

2104022140 is an abundant number, since it is smaller than the sum of its proper divisors (2737450244).

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

2104022140 is a wasteful number, since it uses less digits than its factorization.

2104022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42378 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2104022140 is about 45869.6211015526. The cubic root of 2104022140 is about 1281.3962100368.

Adding to 2104022140 its reverse (412204012), we get a palindrome (2516226152).

The spelling of 2104022140 in words is "two billion, one hundred four million, twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 908 1135 2270 2497 4540 4994 9988 12485 24970 42131 49940 84262 168524 210655 421310 463441 842620 926882 1853764 2317205 4634410 9268820 9563737 19127474 38254948 47818685 95637370 105201107 191274740 210402214 420804428 526005535 1052011070 2104022140