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2210414420 = 225677272269
BaseRepresentation
bin1000001111000000…
…0011111101010100
312201001021200112202
42003300003331110
514011331230140
61003200504032
7105530132624
oct20360037524
95631250482
102210414420
11a347a3085
1251831b018
13292c39a36
1416d7cc884
15ce0c7915
hex83c03f54

2210414420 has 48 divisors (see below), whose sum is σ = 4719711360. Its totient is φ = 869387904.

The previous prime is 2210414363. The next prime is 2210414473. The reversal of 2210414420 is 244140122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2210414392 and 2210414401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973046 + ... + 975314.

It is an arithmetic number, because the mean of its divisors is an integer number (98327320).

Almost surely, 22210414420 is an apocalyptic number.

2210414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210414420 is an abundant number, since it is smaller than the sum of its proper divisors (2509296940).

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

2210414420 is a wasteful number, since it uses less digits than its factorization.

2210414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2210414420 is about 47015.0446134001. The cubic root of 2210414420 is about 1302.6404754161.

Adding to 2210414420 its reverse (244140122), we get a palindrome (2454554542).

The spelling of 2210414420 in words is "two billion, two hundred ten million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 727 1340 1454 2269 2908 3635 4538 7270 9076 11345 14540 22690 45380 48709 97418 152023 194836 243545 304046 487090 608092 760115 974180 1520230 1649563 3040460 3299126 6598252 8247815 16495630 32991260 110520721 221041442 442082884 552603605 1105207210 2210414420