Search a number
-
+
1222210002210 = 23529273663599
BaseRepresentation
bin10001110010010001011…
…001001001110100100010
311022211201220202010022220
4101302101121021310202
5130011041230032320
62333250414011510
7154205334415041
oct21622131116442
94284656663286
101222210002210
1143137775751a
12178a577a6b96
138b33bab6852
1443226132558
1521bd499be40
hex11c91649d22

1222210002210 has 96 divisors (see below), whose sum is σ = 3079560556800. Its totient is φ = 310372747776.

The previous prime is 1222210002203. The next prime is 1222210002271. The reversal of 1222210002210 is 122000122221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1222210002210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1509991 + ... + 2173589.

It is an arithmetic number, because the mean of its divisors is an integer number (32078755800).

Almost surely, 21222210002210 is an apocalyptic number.

1222210002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222210002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539780278400).

1222210002210 is an abundant number, since it is smaller than the sum of its proper divisors (1857350554590).

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

1222210002210 is a wasteful number, since it uses less digits than its factorization.

1222210002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663740 (or 663711 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1222210002210 its reverse (122000122221), we get a palindrome (1344210124431).

The spelling of 1222210002210 in words is "one trillion, two hundred twenty-two billion, two hundred ten million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 73 87 145 146 174 219 290 365 435 438 730 841 870 1095 1682 2117 2190 2523 4205 4234 5046 6351 8410 10585 12615 12702 21170 25230 31755 61393 63510 122786 184179 306965 368358 613930 663599 920895 1327198 1841790 1990797 3317995 3981594 6635990 9953985 19244371 19907970 38488742 48442727 57733113 96221855 96885454 115466226 145328181 192443710 242213635 288665565 290656362 484427270 558086759 577331130 726640905 1116173518 1404839083 1453281810 1674260277 2790433795 2809678166 3348520554 4214517249 5580867590 7024195415 8371301385 8429034498 14048390830 16742602770 21072586245 40740333407 42145172490 81480666814 122221000221 203701667035 244442000442 407403334070 611105001105 1222210002210