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2221220001020 = 2251753883139597
BaseRepresentation
bin100000010100101011000…
…001110111010011111100
321212100100122022021111012
4200110223001313103330
5242343024310013040
64420225301214352
7316322621326166
oct40245301672374
97770318267435
102221220001020
11787017868909
122ba5a21013b8
131315c9c36367
1479716cb1936
153cba4359865
hex2052b0774fc

2221220001020 has 96 divisors (see below), whose sum is σ = 5037870696768. Its totient is φ = 819511160832.

The previous prime is 2221220000981. The next prime is 2221220001061. The reversal of 2221220001020 is 201000221222.

It is a junction number, because it is equal to n+sod(n) for n = 2221220000986 and 2221220001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15841862 + ... + 15981458.

It is an arithmetic number, because the mean of its divisors is an integer number (52477819758).

Almost surely, 22221220001020 is an apocalyptic number.

2221220001020 is a gapful number since it is divisible by the number (20) 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 2221220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518935348384).

2221220001020 is an abundant number, since it is smaller than the sum of its proper divisors (2816650695748).

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

2221220001020 is a wasteful number, since it uses less digits than its factorization.

2221220001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140559 (or 140557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2221220001020 its reverse (201000221222), we get a palindrome (2422220222242).

The spelling of 2221220001020 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 883 901 1060 1766 1802 3532 3604 4415 4505 8830 9010 15011 17660 18020 30022 46799 60044 75055 93598 139597 150110 187196 233995 279194 300220 467990 558388 697985 795583 935980 1395970 1591166 2373149 2791940 3182332 3977915 4746298 7398641 7955830 9492596 11865745 14797282 15911660 23731490 29594564 36993205 47462980 73986410 123264151 125776897 147972820 246528302 251553794 493056604 503107588 616320755 628884485 1232641510 1257768970 2095490567 2465283020 2515537940 4190981134 6533000003 8381962268 10477452835 13066000006 20954905670 26132000012 32665000015 41909811340 65330000030 111061000051 130660000060 222122000102 444244000204 555305000255 1110610000510 2221220001020