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159214224 = 243132191033
BaseRepresentation
bin10010111110101…
…10101010010000
3102002120220212010
421133112222100
5311224323344
623444302520
73642204261
oct1137265220
9362526763
10159214224
1181966004
12453a1a40
1326ca6c00
1417206968
15de9e8b9
hex97d6a90

159214224 has 120 divisors (see below), whose sum is σ = 469270560. Its totient is φ = 46365696.

The previous prime is 159214217. The next prime is 159214247. The reversal of 159214224 is 422412951.

159214224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1592142243 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 159214191 and 159214200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153612 + ... + 154644.

It is an arithmetic number, because the mean of its divisors is an integer number (3910588).

Almost surely, 2159214224 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 159214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234635280).

159214224 is an abundant number, since it is smaller than the sum of its proper divisors (310056336).

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

159214224 is a wasteful number, since it uses less digits than its factorization.

159214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1070 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 159214224 is about 12618.0118877738. The cubic root of 159214224 is about 541.9933460510.

The spelling of 159214224 in words is "one hundred fifty-nine million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 169 208 228 247 304 312 338 456 494 507 624 676 741 912 988 1014 1033 1352 1482 1976 2028 2066 2704 2964 3099 3211 3952 4056 4132 5928 6198 6422 8112 8264 9633 11856 12396 12844 13429 16528 19266 19627 24792 25688 26858 38532 39254 40287 49584 51376 53716 58881 77064 78508 80574 107432 117762 154128 157016 161148 174577 214864 235524 255151 314032 322296 349154 471048 510302 523731 644592 698308 765453 942096 1020604 1047462 1396616 1530906 2041208 2094924 2793232 3061812 3316963 4082416 4189848 6123624 6633926 8379696 9950889 12247248 13267852 19901778 26535704 39803556 53071408 79607112 159214224