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148226080920 = 233519617105367
BaseRepresentation
bin1000101000001011110…
…1101000000010011000
3112011121010112002100220
42022002331220002120
54412031334042140
6152032155200040
713465115620341
oct2120275500230
9464533462326
10148226080920
1157953838525
1224888746020
1310c92bc15b8
147261d470c8
153cc7ec8bd0
hex2282f68098

148226080920 has 128 divisors (see below), whose sum is σ = 468845452800. Its totient is φ = 37385542656.

The previous prime is 148226080903. The next prime is 148226080957. The reversal of 148226080920 is 29080622841.

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, 1354077 + ... + 1459443.

It is an arithmetic number, because the mean of its divisors is an integer number (3662855100).

Almost surely, 2148226080920 is an apocalyptic number.

148226080920 is a gapful number since it is divisible by the number (10) 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 148226080920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234422726400).

148226080920 is an abundant number, since it is smaller than the sum of its proper divisors (320619371880).

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

148226080920 is a wasteful number, since it uses less digits than its factorization.

148226080920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106017 (or 106013 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 148226080920 in words is "one hundred forty-eight billion, two hundred twenty-six million, eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 617 760 1140 1234 1851 2280 2468 3085 3702 4936 6170 7404 9255 11723 12340 14808 18510 23446 24680 35169 37020 46892 58615 70338 74040 93784 105367 117230 140676 175845 210734 234460 281352 316101 351690 421468 468920 526835 632202 703380 842936 1053670 1264404 1406760 1580505 2001973 2107340 2528808 3161010 4003946 4214680 6005919 6322020 8007892 10009865 12011838 12644040 16015784 20019730 24023676 30029595 40039460 48047352 60059190 65011439 80078920 120118380 130022878 195034317 240236760 260045756 325057195 390068634 520091512 650114390 780137268 975171585 1235217341 1300228780 1560274536 1950343170 2470434682 2600457560 3705652023 3900686340 4940869364 6176086705 7411304046 7801372680 9881738728 12352173410 14822608092 18528260115 24704346820 29645216184 37056520230 49408693640 74113040460 148226080920