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23146740225 = 355271075087
BaseRepresentation
bin10101100011101001…
…110011101000000001
32012202010200020100000
4111203221303220001
5334401031141400
614344454550213
71446412021440
oct254351635001
965663606300
1023146740225
1198a8805584
12459b968369
13224b5b93bb
1411981a8d57
15907148600
hex563a73a01

23146740225 has 144 divisors (see below), whose sum is σ = 49604825088. Its totient is φ = 10480415040.

The previous prime is 23146740223. The next prime is 23146740233. The reversal of 23146740225 is 52204764132.

It is not a de Polignac number, because 23146740225 - 21 = 23146740223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23146740225.

It is not an unprimeable number, because it can be changed into a prime (23146740223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4547632 + ... + 4552718.

It is an arithmetic number, because the mean of its divisors is an integer number (344477952).

Almost surely, 223146740225 is an apocalyptic number.

23146740225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23146740225 is an abundant number, since it is smaller than the sum of its proper divisors (26458084863).

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

23146740225 is a wasteful number, since it uses less digits than its factorization.

23146740225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 23146740225 in words is "twenty-three billion, one hundred forty-six million, seven hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 107 135 175 189 225 243 315 321 405 525 535 567 675 749 945 963 1215 1575 1605 1701 2025 2247 2675 2835 2889 3745 4725 4815 5087 6075 6741 8025 8505 8667 11235 14175 14445 15261 18725 20223 24075 25435 26001 33705 35609 42525 43335 45783 56175 60669 72225 76305 101115 106827 127175 130005 137349 168525 178045 182007 216675 228915 303345 320481 381525 412047 505575 534135 544309 650025 686745 890225 910035 961443 1144575 1236141 1516725 1602405 1632927 2060235 2670675 2721545 2884329 3433725 3810163 4550175 4807215 4898781 6180705 8012025 8164635 8652987 10301175 11430489 13607725 14421645 14696343 19050815 24036075 24493905 30903525 34291467 40823175 43264935 44089029 57152445 72108225 73481715 95254075 102874401 122469525 132267087 171457335 216324675 220445145 285762225 308623203 367408575 514372005 661335435 857286675 925869609 1102225725 1543116015 2571860025 3306677175 4629348045 7715580075 23146740225