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2252156300460 = 22325111766908981
BaseRepresentation
bin100000110001011110111…
…110011110110010101100
321222022012122102010020100
4200301132332132302230
5243344404003103320
64442343141351100
7321466350460053
oct40613676366254
97868178363210
102252156300460
11799152577530
12304596708490
131344ba2941a1
147b00d80539a
153d8b5280790
hex20c5ef9ecac

2252156300460 has 144 divisors (see below), whose sum is σ = 7890977701152. Its totient is φ = 513860966400.

The previous prime is 2252156300423. The next prime is 2252156300501. The reversal of 2252156300460 is 640036512522.

2252156300460 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 15 + 630 + 0 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33420831 + ... + 33488150.

It is an arithmetic number, because the mean of its divisors is an integer number (54798456258).

Almost surely, 22252156300460 is an apocalyptic number.

2252156300460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252156300460 is an abundant number, since it is smaller than the sum of its proper divisors (5638821400692).

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

2252156300460 is a wasteful number, since it uses less digits than its factorization.

2252156300460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66909024 (or 66909019 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2252156300460 in words is "two trillion, two hundred fifty-two billion, one hundred fifty-six million, three hundred thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 66908981 133817962 200726943 267635924 334544905 401453886 602180829 669089810 735998791 802907772 1003634715 1137452677 1204361658 1338179620 1471997582 2007269430 2207996373 2274905354 2408723316 2943995164 3010904145 3412358031 3679993955 4014538860 4415992746 4549810708 5687263385 6021808290 6623989119 6824716062 7359987910 8831985492 10237074093 11039981865 11374526770 12043616580 12511979447 13247978238 13649432124 14719975820 17061790155 20474148186 22079963730 22749053540 25023958894 26495956476 33119945595 34123580310 37535938341 40948296372 44159927460 50047917788 51185370465 62559897235 66239891190 68247160620 75071876682 102370740930 112607815023 125119794470 132479782380 150143753364 187679691705 204741481860 225215630046 250239588940 375359383410 450431260092 563039075115 750718766820 1126078150230 2252156300460