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145219032 = 23327172997
BaseRepresentation
bin10001010011111…
…01110111011000
3101010020220001200
420221331313120
5244134002112
622224314200
73412225050
oct1051756730
9333226050
10145219032
1174a77232
1240772960
1324116a2a
1415402560
15cb37cdc
hex8a7ddd8

145219032 has 144 divisors (see below), whose sum is σ = 477962160. Its totient is φ = 39011328.

The previous prime is 145219031. The next prime is 145219057. The reversal of 145219032 is 230912541.

It is a junction number, because it is equal to n+sod(n) for n = 145218987 and 145219005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145219031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145158 + ... + 146154.

Almost surely, 2145219032 is an apocalyptic number.

145219032 is a gapful number since it is divisible by the number (12) 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 145219032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238981080).

145219032 is an abundant number, since it is smaller than the sum of its proper divisors (332743128).

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

145219032 is a wasteful number, since it uses less digits than its factorization.

145219032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145219032 is about 12050.6859555795. The cubic root of 145219032 is about 525.6231837872.

The spelling of 145219032 in words is "one hundred forty-five million, two hundred nineteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 289 306 357 408 476 504 578 612 714 867 952 997 1071 1156 1224 1428 1734 1994 2023 2142 2312 2601 2856 2991 3468 3988 4046 4284 5202 5982 6069 6936 6979 7976 8092 8568 8973 10404 11964 12138 13958 16184 16949 17946 18207 20808 20937 23928 24276 27916 33898 35892 36414 41874 48552 50847 55832 62811 67796 71784 72828 83748 101694 118643 125622 135592 145656 152541 167496 203388 237286 251244 288133 305082 355929 406776 474572 502488 576266 610164 711858 864399 949144 1067787 1152532 1220328 1423716 1728798 2016931 2135574 2305064 2593197 2847432 3457596 4033862 4271148 5186394 6050793 6915192 8067724 8542296 10372788 12101586 16135448 18152379 20745576 24203172 36304758 48406344 72609516 145219032