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102220010208 = 2533223530539
BaseRepresentation
bin101111100110011001…
…0011001001011100000
3100202211212222112202000
41133030302121023200
53133321310311313
6114543105324000
710246051515321
oct1371462311340
9322755875660
10102220010208
113a395592688
1217989336600
139840729054
144d39c2a448
1529d40aa673
hex17ccc992e0

102220010208 has 96 divisors (see below), whose sum is σ = 299479219200. Its totient is φ = 33920477568.

The previous prime is 102220010197. The next prime is 102220010227. The reversal of 102220010208 is 802010022201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 72598 + ... + 457941.

It is an arithmetic number, because the mean of its divisors is an integer number (3119575200).

Almost surely, 2102220010208 is an apocalyptic number.

102220010208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220010208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149739609600).

102220010208 is an abundant number, since it is smaller than the sum of its proper divisors (197259208992).

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

102220010208 is a wasteful number, since it uses less digits than its factorization.

102220010208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530781 (or 530767 counting only the distinct ones).

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

Adding to 102220010208 its reverse (802010022201), we get a palindrome (904230032409).

The spelling of 102220010208 in words is "one hundred two billion, two hundred twenty million, ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 223 288 432 446 669 864 892 1338 1784 2007 2676 3568 4014 5352 6021 7136 8028 10704 12042 16056 21408 24084 32112 48168 64224 96336 192672 530539 1061078 1591617 2122156 3183234 4244312 4774851 6366468 8488624 9549702 12732936 14324553 16977248 19099404 25465872 28649106 38198808 50931744 57298212 76397616 114596424 118310197 152795232 229192848 236620394 354930591 458385696 473240788 709861182 946481576 1064791773 1419722364 1892963152 2129583546 2839444728 3194375319 3785926304 4259167092 5678889456 6388750638 8518334184 11357778912 12777501276 17036668368 25555002552 34073336736 51110005104 102220010208