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229924152640 = 2657137895747
BaseRepresentation
bin1101011000100010001…
…1000010010101000000
3210222110210212010212001
43112020203002111000
512231341040341030
6253343052313344
722416510023350
oct3261043022500
9728423763761
10229924152640
118956820aa66
1238689172854
13188b2a79080
14b1b2424b60
155eaa5b9cca
hex35888c2540

229924152640 has 112 divisors (see below), whose sum is σ = 673854717312. Its totient is φ = 72767195136.

The previous prime is 229924152613. The next prime is 229924152641. The reversal of 229924152640 is 46251429922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229924152641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3918754 + ... + 3976993.

It is an arithmetic number, because the mean of its divisors is an integer number (6016559976).

Almost surely, 2229924152640 is an apocalyptic number.

229924152640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229924152640 is an abundant number, since it is smaller than the sum of its proper divisors (443930564672).

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

229924152640 is a wasteful number, since it uses less digits than its factorization.

229924152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895784 (or 7895774 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 229924152640 in words is "two hundred twenty-nine billion, nine hundred twenty-four million, one hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 7895747 15791494 31582988 39478735 55270229 63165976 78957470 102644711 110540458 126331952 157914940 205289422 221080916 252663904 276351145 315829880 410578844 442161832 505327808 513223555 552702290 631659760 718512977 821157688 884323664 1026447110 1105404580 1263319520 1437025954 1642315376 1768647328 2052894220 2210809160 2526639040 2874051908 3284630752 3537294656 3592564885 4105788440 4421618320 5748103816 6569261504 7185129770 8211576880 8843236640 11496207632 14370259540 16423153760 17686473280 22992415264 28740519080 32846307520 45984830528 57481038160 114962076320 229924152640