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220001000202 = 232175037012039
BaseRepresentation
bin1100110011100100010…
…1001101101100001010
3210000212020200202202200
43030321011031230022
512101030224001302
6245022252541030
721615554434644
oct3147105155412
9700766622680
10220001000202
1185335913735
1236779a81776
1317990c87139
14a910587894
155ac933b81c
hex333914db0a

220001000202 has 96 divisors (see below), whose sum is σ = 506681360640. Its totient is φ = 68750707200.

The previous prime is 220001000201. The next prime is 220001000213. The reversal of 220001000202 is 202000100022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (220001000201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107895499 + ... + 107897537.

It is an arithmetic number, because the mean of its divisors is an integer number (5277930840).

Almost surely, 2220001000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220001000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253340680320).

220001000202 is an abundant number, since it is smaller than the sum of its proper divisors (286680360438).

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

220001000202 is a wasteful number, since it uses less digits than its factorization.

220001000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 220001000202 its reverse (202000100022), we get a palindrome (422001100224).

It can be divided in two parts, 22000100020 and 2, that added together give a palindrome (22000100022).

The spelling of 220001000202 in words is "two hundred twenty billion, one million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 503 701 1006 1402 1509 2039 2103 3018 4078 4206 4527 6117 6309 8551 9054 11917 12234 12618 17102 18351 23834 25653 34663 35751 36702 51306 69326 71502 76959 103989 107253 153918 207978 214506 311967 352603 623934 705206 1025617 1057809 1429339 2051234 2115618 2858678 3076851 3173427 4288017 5994251 6153702 6346854 8576034 9230553 11988502 12864051 17435489 17982753 18461106 24298763 25728102 34870978 35965506 48597526 52306467 53948259 72896289 104612934 107896518 145792578 156919401 218688867 313838802 437377734 718957517 1437915034 2156872551 4313745102 6470617653 12222277789 12941235306 24444555578 36666833367 73333666734 110000500101 220001000202