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144052224 = 212319617
BaseRepresentation
bin10001001011000…
…01000000000000
3101001001121111120
420211201000000
5243334132344
622143312240
73366265221
oct1045410000
9331047446
10144052224
117434a628
12402ab680
1323ac8904
14151bb248
15c9a7219
hex8961000

144052224 has 104 divisors (see below), whose sum is σ = 404963040. Its totient is φ = 45416448.

The previous prime is 144052187. The next prime is 144052247. The reversal of 144052224 is 422250441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144052194 and 144052203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233164 + ... + 233780.

Almost surely, 2144052224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202481520).

144052224 is an abundant number, since it is smaller than the sum of its proper divisors (260910816).

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

144052224 is an equidigital number, since it uses as much as digits as its factorization.

144052224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144052224 is about 12002.1758027451. The cubic root of 144052224 is about 524.2116348864.

The spelling of 144052224 in words is "one hundred forty-four million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 617 768 912 1024 1216 1234 1536 1824 1851 2048 2432 2468 3072 3648 3702 4096 4864 4936 6144 7296 7404 9728 9872 11723 12288 14592 14808 19456 19744 23446 29184 29616 35169 38912 39488 46892 58368 59232 70338 77824 78976 93784 116736 118464 140676 157952 187568 233472 236928 281352 315904 375136 473856 562704 631808 750272 947712 1125408 1263616 1500544 1895424 2250816 2527232 3001088 3790848 4501632 6002176 7581696 9003264 12004352 18006528 24008704 36013056 48017408 72026112 144052224