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220233414420 = 223253109393541
BaseRepresentation
bin1100110100011011101…
…1110011011100010100
3210001110110000122010200
43031012323303130110
512102014223230140
6245101314220500
721624406064265
oct3150673633424
9701413018120
10220233414420
11854450259a8
1236823884730
13179ca180246
14a9333a696c
155ade94a030
hex3346ef3714

220233414420 has 72 divisors (see below), whose sum is σ = 668257928520. Its totient is φ = 58709871360.

The previous prime is 220233414377. The next prime is 220233414473. The reversal of 220233414420 is 24414332022.

220233414420 is a `hidden beast` number, since 2 + 2 + 0 + 233 + 4 + 1 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42161230224 + 178072184196 = 205332^2 + 421986^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362850 + ... + 756390.

Almost surely, 2220233414420 is an apocalyptic number.

220233414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220233414420 is an abundant number, since it is smaller than the sum of its proper divisors (448024514100).

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

220233414420 is a wasteful number, since it uses less digits than its factorization.

220233414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396665 (or 396660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 220233414420 its reverse (24414332022), we get a palindrome (244647746442).

The spelling of 220233414420 in words is "two hundred twenty billion, two hundred thirty-three million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3109 6218 9327 12436 15545 18654 27981 31090 37308 46635 55962 62180 93270 111924 139905 186540 279810 393541 559620 787082 1180623 1574164 1967705 2361246 3541869 3935410 4722492 5903115 7083738 7870820 11806230 14167476 17709345 23612460 35418690 70837380 1223518969 2447037938 3670556907 4894075876 6117594845 7341113814 11011670721 12235189690 14682227628 18352784535 22023341442 24470379380 36705569070 44046682884 55058353605 73411138140 110116707210 220233414420