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102220222000 = 2453133931547
BaseRepresentation
bin101111100110011001…
…1001100111000110000
3100202211220101022021011
41133030303030320300
53133321334101000
6114543114040304
710246053356641
oct1371463147060
9322756338234
10102220222000
113a395717816
1217989419094
1398407a1580
144d39c836c8
1529d40ed2ba
hex17ccccce30

102220222000 has 80 divisors (see below), whose sum is σ = 266181525792. Its totient is φ = 37742841600.

The previous prime is 102220221991. The next prime is 102220222003. The reversal of 102220222000 is 222022201.

102220222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (102220222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939774 + ... + 1991773.

Almost surely, 2102220222000 is an apocalyptic number.

102220222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220222000 is an abundant number, since it is smaller than the sum of its proper divisors (163961303792).

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

102220222000 is a wasteful number, since it uses less digits than its factorization.

102220222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931583 (or 3931567 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 102220222000 its reverse (222022201), we get a palindrome (102442244201).

The spelling of 102220222000 in words is "one hundred two billion, two hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 3931547 7863094 15726188 19657735 31452376 39315470 51110111 62904752 78630940 98288675 102220222 157261880 196577350 204440444 255550555 314523760 393154700 408880888 491443375 511101110 786309400 817761776 982886750 1022202220 1277752775 1572618800 1965773500 2044404440 2555505550 3931547000 4088808880 5111011100 6388763875 7863094000 10222022200 12777527750 20444044400 25555055500 51110111000 102220222000