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144551022 = 237112910789
BaseRepresentation
bin10001001110110…
…10110001101110
3101001222221201120
420213122301232
5244001113042
622202121410
73403443360
oct1047326156
9331887646
10144551022
1174660360
12404b0266
1323c41965
14152aad30
15ca54dec
hex89dac6e

144551022 has 64 divisors (see below), whose sum is σ = 372902400. Its totient is φ = 36247680.

The previous prime is 144550957. The next prime is 144551059. The reversal of 144551022 is 220155441.

It is a super-5 number, since 5×1445510225 (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 144550983 and 144551001.

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, 8004 + ... + 18792.

It is an arithmetic number, because the mean of its divisors is an integer number (5826600).

Almost surely, 2144551022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144551022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186451200).

144551022 is an abundant number, since it is smaller than the sum of its proper divisors (228351378).

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

144551022 is a wasteful number, since it uses less digits than its factorization.

144551022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 144551022 is about 12022.9373282905. The cubic root of 144551022 is about 524.8159863040.

The spelling of 144551022 in words is "one hundred forty-four million, five hundred fifty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 406 462 609 638 957 1218 1914 2233 4466 6699 10789 13398 21578 32367 64734 75523 118679 151046 226569 237358 312881 356037 453138 625762 712074 830753 938643 1661506 1877286 2190167 2492259 3441691 4380334 4984518 6570501 6883382 10325073 13141002 20650146 24091837 48183674 72275511 144551022