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2190114752202 = 23213431117194863
BaseRepresentation
bin11111110111101101000…
…000110000011011001010
321202101001212021220202200
4133313231000300123022
5241340323334032302
64354042543541030
7314142041143446
oct37675500603312
97671055256680
102190114752202
11774905755003
122b4560bba776
1312b6b08a34a0
1478005b5d826
153be836ae81c
hex1fded0306ca

2190114752202 has 96 divisors (see below), whose sum is σ = 5233819438848. Its totient is φ = 657617159808.

The previous prime is 2190114752171. The next prime is 2190114752207. The reversal of 2190114752202 is 2022574110912.

It is a happy number.

2190114752202 is a `hidden beast` number, since 2 + 1 + 90 + 1 + 1 + 47 + 522 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2190114752207) 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, 11141823 + ... + 11336685.

It is an arithmetic number, because the mean of its divisors is an integer number (54518952488).

Almost surely, 22190114752202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190114752202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616909719424).

2190114752202 is an abundant number, since it is smaller than the sum of its proper divisors (3043704686646).

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

2190114752202 is a wasteful number, since it uses less digits than its factorization.

2190114752202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196044 (or 196041 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2190114752202 in words is "two trillion, one hundred ninety billion, one hundred fourteen million, seven hundred fifty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1117 1118 1677 2234 3351 3354 5031 6702 10053 10062 14521 20106 29042 43563 48031 87126 96062 130689 144093 194863 261378 288186 389726 432279 584589 624403 864558 1169178 1248806 1753767 1873209 2533219 3507534 3746418 5066438 5619627 7599657 8379109 11239254 15199314 16758218 22798971 25137327 45597942 50274654 75411981 108928417 150823962 217661971 217856834 326785251 435323942 652985913 653570502 980355753 1305971826 1958957739 1960711506 2829605623 3917915478 5659211246 8488816869 9359464753 16977633738 18718929506 25466450607 28078394259 50932901214 56156788518 84235182777 121673041789 168470365554 243346083578 365019125367 730038250734 1095057376101 2190114752202