Search a number
-
+
222100021211220 = 223254241472909107
BaseRepresentation
bin110010011111111110110000…
…110111100111000001010100
31002010101112222100111101202200
4302133332300313213001110
5213102341320412224340
62104211201410204500
764532124400165335
oct6237766067470124
91063345870441680
10222100021211220
116484a0a99245a9
1220ab057b883730
1396c0c32b32219
143cbb9ac51428c
151aa24e7e2c330
hexc9ffb0de7054

222100021211220 has 72 divisors (see below), whose sum is σ = 673705217631264. Its totient is φ = 59226512326848.

The previous prime is 222100021211219. The next prime is 222100021211249. The reversal of 222100021211220 is 22112120001222.

It is a happy number.

222100021211220 is a `hidden beast` number, since 2 + 2 + 210 + 0 + 0 + 21 + 211 + 220 = 666.

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 = 222100021211193 and 222100021211202.

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, 74891907 + ... + 77801013.

Almost surely, 2222100021211220 is an apocalyptic number.

222100021211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100021211220 is an abundant number, since it is smaller than the sum of its proper divisors (451605196420044).

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

222100021211220 is a wasteful number, since it uses less digits than its factorization.

222100021211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333269 (or 3333264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222100021211220 its reverse (22112120001222), we get a palindrome (244212141212442).

The spelling of 222100021211220 in words is "two hundred twenty-two trillion, one hundred billion, twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 424147 848294 1272441 1696588 2120735 2544882 2909107 3817323 4241470 5089764 5818214 6362205 7634646 8482940 8727321 11636428 12724410 14545535 15269292 17454642 19086615 25448820 26181963 29091070 34909284 38173230 43636605 52363926 58182140 76346460 87273210 104727852 130909815 174546420 261819630 523639260 1233889006729 2467778013458 3701667020187 4935556026916 6169445033645 7403334040374 11105001060561 12338890067290 14806668080748 18508335100935 22210002121122 24677780134580 37016670201870 44420004242244 55525005302805 74033340403740 111050010605610 222100021211220