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2235961980 = 22325712231451
BaseRepresentation
bin1000010101000110…
…0001001001111100
312202211100122012200
42011101201021330
514034401240410
61005512231500
7106260235410
oct20521411174
95684318180
102235961980
11a4816236a
1252499b590
13298313235
14172d5cd40
15d14723c0
hex8546127c

2235961980 has 144 divisors (see below), whose sum is σ = 7763019264. Its totient is φ = 510307200.

The previous prime is 2235961979. The next prime is 2235961991. The reversal of 2235961980 is 891695322.

2235961980 is a `hidden beast` number, since 2 + 23 + 5 + 9 + 619 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540255 + ... + 1541705.

It is an arithmetic number, because the mean of its divisors is an integer number (53909856).

Almost surely, 22235961980 is an apocalyptic number.

2235961980 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 2235961980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881509632).

2235961980 is an abundant number, since it is smaller than the sum of its proper divisors (5527057284).

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

2235961980 is a wasteful number, since it uses less digits than its factorization.

2235961980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2235961980 is about 47285.9596497734. The cubic root of 2235961980 is about 1307.6398231140.

The spelling of 2235961980 in words is "two billion, two hundred thirty-five million, nine hundred sixty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1223 1260 1451 2446 2902 3669 4353 4892 5804 6115 7255 7338 8561 8706 10157 11007 12230 13059 14510 14676 17122 17412 18345 20314 21765 22014 24460 25683 26118 29020 30471 34244 36690 40628 42805 43530 44028 50785 51366 52236 55035 60942 65295 73380 77049 85610 87060 91413 101570 102732 110070 121884 128415 130590 152355 154098 171220 182826 203140 220140 256830 261180 304710 308196 365652 385245 457065 513660 609420 770490 914130 1540980 1774573 1828260 3549146 5323719 7098292 8872865 10647438 12422011 15971157 17745730 21294876 24844022 26618595 31942314 35491460 37266033 49688044 53237190 62110055 63884628 74532066 79855785 106474380 111798099 124220110 149064132 159711570 186330165 223596198 248440220 319423140 372660330 447192396 558990495 745320660 1117980990 2235961980