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232012220001000 = 23353323692389243
BaseRepresentation
bin110100110000001110001101…
…111101001110101011101000
31010102111011002112021001000020
4310300032031331032223220
5220402242011310013000
62141240535322440440
766604221045555135
oct6460161575165350
91112434075231006
10232012220001000
1167a2091470a86a
1222031633063120
139c5c873864cca
14414164678958c
151bc5284a71ba0
hexd3038df4eae8

232012220001000 has 128 divisors (see below), whose sum is σ = 723900792700800. Its totient is φ = 61867988044800.

The previous prime is 232012220000987. The next prime is 232012220001007. The reversal of 232012220001000 is 100022210232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (232012220001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95912379 + ... + 98301621.

It is an arithmetic number, because the mean of its divisors is an integer number (5655474942975).

Almost surely, 2232012220001000 is an apocalyptic number.

232012220001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012220001000 is an abundant number, since it is smaller than the sum of its proper divisors (491888572699800).

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

232012220001000 is a wasteful number, since it uses less digits than its factorization.

232012220001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421636 (or 2421622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 232012220001000 its reverse (100022210232), we get a palindrome (232112242211232).

The spelling of 232012220001000 in words is "two hundred thirty-two trillion, twelve billion, two hundred twenty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 32369 64738 97107 129476 161845 194214 258952 323690 388428 485535 647380 776856 809225 971070 1294760 1618450 1942140 2389243 2427675 3236900 3884280 4046125 4778486 4855350 6473800 7167729 8092250 9556972 9710700 11946215 12138375 14335458 16184500 19113944 19421400 23892430 24276750 28670916 32369000 35838645 47784860 48553500 57341832 59731075 71677290 95569720 97107000 119462150 143354580 179193225 238924300 286709160 298655375 358386450 477848600 597310750 716772900 895966125 1194621500 1433545800 1791932250 2389243000 3583864500 7167729000 77337406667 154674813334 232012220001 309349626668 386687033335 464024440002 618699253336 773374066670 928048880004 1160061100005 1546748133340 1856097760008 1933435166675 2320122200010 3093496266680 3866870333350 4640244400020 5800305500025 7733740666700 9280488800040 9667175833375 11600611000050 15467481333400 19334351666750 23201222000100 29001527500125 38668703333500 46402444000200 58003055000250 77337406667000 116006110000500 232012220001000