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23220342320 = 2457192718053
BaseRepresentation
bin10101101000000010…
…100100111000110000
32012221021011121102112
4111220002210320300
5340023401423240
614400044304452
71451264440010
oct255002447060
965837147375
1023220342320
11993630695a
124600542128
132260919636
1411a3c87c40
1590d836665
hex5680a4e30

23220342320 has 160 divisors (see below), whose sum is σ = 65194874880. Its totient is φ = 7513482240.

The previous prime is 23220342293. The next prime is 23220342337. The reversal of 23220342320 is 2324302232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879414 + ... + 2887466.

It is an arithmetic number, because the mean of its divisors is an integer number (407467968).

Almost surely, 223220342320 is an apocalyptic number.

23220342320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32597437440).

23220342320 is an abundant number, since it is smaller than the sum of its proper divisors (41974532560).

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

23220342320 is a wasteful number, since it uses less digits than its factorization.

23220342320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 23220342320 its reverse (2324302232), we get a palindrome (25544644552).

The spelling of 23220342320 in words is "twenty-three billion, two hundred twenty million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 271 280 304 380 532 542 560 665 760 1064 1084 1330 1355 1520 1897 2128 2168 2660 2710 3794 4336 5149 5320 5420 7588 8053 9485 10298 10640 10840 15176 16106 18970 20596 21680 25745 30352 32212 36043 37940 40265 41192 51490 56371 64424 72086 75880 80530 82384 102980 112742 128848 144172 151760 153007 161060 180215 205960 225484 281855 288344 306014 322120 360430 411920 450968 563710 576688 612028 644240 720860 765035 901936 1071049 1127420 1224056 1441720 1530070 2142098 2182363 2254840 2448112 2883440 3060140 4284196 4364726 4509680 5355245 6120280 8568392 8729452 10710490 10911815 12240560 15276541 17136784 17458904 21420980 21823630 30553082 34917808 41464897 42841960 43647260 61106164 76382705 82929794 85683920 87294520 122212328 152765410 165859588 174589040 207324485 244424656 290254279 305530820 331719176 414648970 580508558 611061640 663438352 829297940 1161017116 1222123280 1451271395 1658595880 2322034232 2902542790 3317191760 4644068464 5805085580 11610171160 23220342320