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1230522198240 = 253517150799289
BaseRepresentation
bin10001111010000000110…
…101101010100011100000
311100122012012121102200010
4101322000311222203200
5130130102140320430
62341143305124520
7154621326051516
oct21720065524340
94318165542603
101230522198240
11434952779415
1217a597489740
138c064c07a3a
14437b40664b6
152201e5b4cb0
hex11e80d6a8e0

1230522198240 has 96 divisors (see below), whose sum is σ = 4104153476640. Its totient is φ = 308836941824.

The previous prime is 1230522198221. The next prime is 1230522198271. The reversal of 1230522198240 is 428912250321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12305221982402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75391485 + ... + 75407804.

It is an arithmetic number, because the mean of its divisors is an integer number (42751598715).

Almost surely, 21230522198240 is an apocalyptic number.

1230522198240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230522198240 is an abundant number, since it is smaller than the sum of its proper divisors (2873631278400).

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

1230522198240 is a wasteful number, since it uses less digits than its factorization.

1230522198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150799324 (or 150799316 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1230522198240 in words is "one trillion, two hundred thirty billion, five hundred twenty-two million, one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 150799289 301598578 452397867 603197156 753996445 904795734 1206394312 1507992890 1809591468 2261989335 2412788624 2563587913 3015985780 3619182936 4523978670 4825577248 5127175826 6031971560 7238365872 7690763739 9047957340 10254351652 12063943120 12817939565 14476731744 15381527478 18095914680 20508703304 24127886240 25635879130 30763054956 36191829360 38453818695 41017406608 51271758260 61526109912 72383658720 76907637390 82034813216 102543516520 123052219824 153815274780 205087033040 246104439648 307630549560 410174066080 615261099120 1230522198240