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227148321264 = 24323520939499
BaseRepresentation
bin1101001110001100011…
…0000101000111110000
3210201022100122022001120
43103203012011013300
512210144432240024
6252203412502240
722260642605454
oct3234306050760
9721270568046
10227148321264
118837333a847
123803361a980
131855c9617b7
14adcb8d2664
155d96a56479
hex34e31851f0

227148321264 has 80 divisors (see below), whose sum is σ = 612445920000. Its totient is φ = 72408365568.

The previous prime is 227148321263. The next prime is 227148321289. The reversal of 227148321264 is 462123841722.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227148321263) by changing a digit.

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, 5730987 + ... + 5770485.

It is an arithmetic number, because the mean of its divisors is an integer number (7655574000).

Almost surely, 2227148321264 is an apocalyptic number.

227148321264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

227148321264 is an abundant number, since it is smaller than the sum of its proper divisors (385297598736).

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

227148321264 is a wasteful number, since it uses less digits than its factorization.

227148321264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44742 (or 44736 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The spelling of 227148321264 in words is "two hundred twenty-seven billion, one hundred forty-eight million, three hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 5209 10418 15627 20836 31254 39499 41672 62508 78998 83344 118497 119807 125016 157996 236994 239614 250032 315992 359421 473988 479228 631984 718842 908477 947976 958456 1437684 1816954 1895952 1916912 2725431 2875368 3633908 5450862 5750736 7267816 10901724 14535632 21803448 43606896 205750291 411500582 617250873 823001164 1234501746 1646002328 2469003492 3292004656 4732256693 4938006984 9464513386 9876013968 14196770079 18929026772 28393540158 37858053544 56787080316 75716107088 113574160632 227148321264