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2114211020 = 225718916729
BaseRepresentation
bin111111000000100…
…0100110011001100
312110100021001021212
41332001010303030
513312214223040
6545442513552
7103251332345
oct17601046314
95410231255
102114211020
11995465039
124b00658b8
1327902534c
14160b090cc
15c5922d65
hex7e044ccc

2114211020 has 48 divisors (see below), whose sum is σ = 4553236800. Its totient is φ = 824355840.

The previous prime is 2114211019. The next prime is 2114211023. The reversal of 2114211020 is 201124112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2114210986 and 2114211004.

It is not an unprimeable number, because it can be changed into a prime (2114211023) 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, 118016 + ... + 134744.

It is an arithmetic number, because the mean of its divisors is an integer number (94859100).

Almost surely, 22114211020 is an apocalyptic number.

2114211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114211020 is an abundant number, since it is smaller than the sum of its proper divisors (2439025780).

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

2114211020 is a wasteful number, since it uses less digits than its factorization.

2114211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16898 (or 16896 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2114211020 is about 45980.5504534254. The cubic root of 2114211020 is about 1283.4612982347.

Adding to 2114211020 its reverse (201124112), we get a palindrome (2315335132).

The spelling of 2114211020 in words is "two billion, one hundred fourteen million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 71 89 142 178 284 355 356 445 710 890 1420 1780 6319 12638 16729 25276 31595 33458 63190 66916 83645 126380 167290 334580 1187759 1488881 2375518 2977762 4751036 5938795 5955524 7444405 11877590 14888810 23755180 29777620 105710551 211421102 422842204 528552755 1057105510 2114211020