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142954224 = 24371729863
BaseRepresentation
bin10001000010101…
…00111011110000
3100221222211022220
420201110323300
5243044013344
622104001040
73354043110
oct1041247360
9327884286
10142954224
117376a696
123ba60180
1323802bca
1414db3040
15c83bc19
hex8854ef0

142954224 has 160 divisors (see below), whose sum is σ = 462827520. Its totient is φ = 37072896.

The previous prime is 142954193. The next prime is 142954261. The reversal of 142954224 is 422459241.

It is a happy number.

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, 165217 + ... + 166079.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672).

Almost surely, 2142954224 is an apocalyptic number.

142954224 is a gapful number since it is divisible by the number (14) 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 142954224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231413760).

142954224 is an abundant number, since it is smaller than the sum of its proper divisors (319873296).

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

142954224 is a wasteful number, since it uses less digits than its factorization.

142954224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 142954224 is about 11956.3465991916. The cubic root of 142954224 is about 522.8763482876.

The spelling of 142954224 in words is "one hundred forty-two million, nine hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 34 42 48 51 56 58 68 84 87 102 112 116 119 136 168 174 203 204 232 238 272 336 348 357 406 408 464 476 493 609 696 714 812 816 863 952 986 1218 1392 1428 1479 1624 1726 1904 1972 2436 2589 2856 2958 3248 3451 3452 3944 4872 5178 5712 5916 6041 6902 6904 7888 9744 10353 10356 11832 12082 13804 13808 14671 18123 20706 20712 23664 24164 25027 27608 29342 36246 41412 41424 44013 48328 50054 55216 58684 72492 75081 82824 88026 96656 100108 102697 117368 144984 150162 165648 175189 176052 200216 205394 234736 289968 300324 308091 350378 352104 400432 410788 425459 525567 600648 616182 700756 704208 821576 850918 1051134 1201296 1232364 1276377 1401512 1643152 1701836 2102268 2464728 2552754 2803024 2978213 3403672 4204536 4929456 5105508 5956426 6807344 8409072 8934639 10211016 11912852 17869278 20422032 23825704 35738556 47651408 71477112 142954224