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145022620 = 22529614099
BaseRepresentation
bin10001010010011…
…01111010011100
3101002212220122011
420221031322130
5244111210440
622220201004
73410446321
oct1051157234
9332786564
10145022620
1174952706
1240699164
1324078502
1415390b48
15cae99ea
hex8a4de9c

145022620 has 48 divisors (see below), whose sum is σ = 320292000. Its totient is φ = 55077120.

The previous prime is 145022599. The next prime is 145022653. The reversal of 145022620 is 26220541.

145022620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145022591 and 145022600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33331 + ... + 37429.

It is an arithmetic number, because the mean of its divisors is an integer number (6672750).

Almost surely, 2145022620 is an apocalyptic number.

145022620 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 145022620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160146000).

145022620 is an abundant number, since it is smaller than the sum of its proper divisors (175269380).

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

145022620 is a wasteful number, since it uses less digits than its factorization.

145022620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145022620 is about 12042.5337865418. The cubic root of 145022620 is about 525.3861044858.

The spelling of 145022620 in words is "one hundred forty-five million, twenty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 4099 7076 8198 8845 16396 17690 20495 35380 40990 81980 118871 237742 250039 475484 500078 594355 1000156 1188710 1250195 2377420 2500390 5000780 7251131 14502262 29004524 36255655 72511310 145022620