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220019812002 = 23343109186851
BaseRepresentation
bin1100110011101000110…
…0111110011010100010
3210000220120002111201000
43030322030332122202
512101100032441002
6245024204052430
721616203354564
oct3147214763242
9700816074630
10220019812002
11853454a2281
1236784234116
1317994b42793
14a912c83334
155acad0561c
hex333a33e6a2

220019812002 has 64 divisors (see below), whose sum is σ = 500767787520. Its totient is φ = 71567874000.

The previous prime is 220019811983. The next prime is 220019812003. The reversal of 220019812002 is 200218910022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220019812003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2489877 + ... + 2576727.

It is an arithmetic number, because the mean of its divisors is an integer number (7824496680).

Almost surely, 2220019812002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220019812002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250383893760).

220019812002 is an abundant number, since it is smaller than the sum of its proper divisors (280747975518).

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

220019812002 is a wasteful number, since it uses less digits than its factorization.

220019812002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87996 (or 87990 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 220019812002 in words is "two hundred twenty billion, nineteen million, eight hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1091 1161 2182 2322 3273 6546 9819 19638 29457 46913 58914 86851 93826 140739 173702 260553 281478 422217 521106 781659 844434 1266651 1563318 2344977 2533302 3734593 4689954 7469186 11203779 22407558 33611337 67222674 94754441 100834011 189508882 201668022 284263323 568526646 852789969 1705579938 2558369907 4074440963 5116739814 8148881926 12223322889 24446645778 36669968667 73339937334 110009906001 220019812002