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2252305980 = 2233519219523
BaseRepresentation
bin1000011000111111…
…0111011000111100
312210222002222222000
42012033313120330
514103042242410
61011254422300
7106546166511
oct20617673074
95728088860
102252305980
11a56405901
1252a361990
1329b816542
141751b5308
15d2aeedc0
hex863f763c

2252305980 has 96 divisors (see below), whose sum is σ = 7376006400. Its totient is φ = 569001024.

The previous prime is 2252305927. The next prime is 2252305997. The reversal of 2252305980 is 895032522.

2252305980 is a `hidden beast` number, since 2 + 2 + 523 + 0 + 59 + 80 = 666.

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

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, 99502 + ... + 120021.

It is an arithmetic number, because the mean of its divisors is an integer number (76833400).

Almost surely, 22252305980 is an apocalyptic number.

2252305980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252305980 is an abundant number, since it is smaller than the sum of its proper divisors (5123700420).

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

2252305980 is a wasteful number, since it uses less digits than its factorization.

2252305980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219560 (or 219552 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2252305980 is about 47458.4658411963. The cubic root of 2252305980 is about 1310.8182018330.

The spelling of 2252305980 in words is "two billion, two hundred fifty-two million, three hundred five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 219523 439046 658569 878092 1097615 1317138 1975707 2195230 2634276 3292845 3951414 4170937 4390460 5927121 6585690 7902828 8341874 9878535 11854242 12512811 13171380 16683748 19757070 20854685 23708484 25025622 29635605 37538433 39514140 41709370 50051244 59271210 62564055 75076866 83418740 112615299 118542420 125128110 150153732 187692165 225230598 250256220 375384330 450461196 563076495 750768660 1126152990 2252305980