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201372156 = 22353141163
BaseRepresentation
bin11000000000010…
…11000111111100
3112000220202200000
430000023013330
5403022402111
631552034300
74663430556
oct1400130774
9460822600
10201372156
11a373a977
1257532990
1332947a2b
141ca5c4d6
1512a2ac56
hexc00b1fc

201372156 has 144 divisors (see below), whose sum is σ = 561619968. Its totient is φ = 62985600.

The previous prime is 201372137. The next prime is 201372169. The reversal of 201372156 is 651273102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1235331 + ... + 1235493.

Almost surely, 2201372156 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 201372156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280809984).

201372156 is an abundant number, since it is smaller than the sum of its proper divisors (360247812).

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

201372156 is a wasteful number, since it uses less digits than its factorization.

201372156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 201372156 is about 14190.5657392508. The cubic root of 201372156 is about 586.1379035330.

The spelling of 201372156 in words is "two hundred one million, three hundred seventy-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 81 82 93 108 123 124 162 163 164 186 243 246 279 324 326 369 372 486 489 492 558 652 738 837 972 978 1107 1116 1271 1467 1476 1674 1956 2214 2511 2542 2934 3321 3348 3813 4401 4428 5022 5053 5084 5868 6642 6683 7533 7626 8802 9963 10044 10106 11439 13203 13284 13366 15066 15159 15252 17604 19926 20049 20212 22878 26406 26732 30132 30318 34317 39609 39852 40098 45477 45756 52812 60147 60636 68634 79218 80196 90954 102951 120294 136431 137268 158436 180441 181908 205902 207173 240588 272862 308853 360882 409293 411804 414346 541323 545724 617706 621519 721764 818586 828692 1082646 1227879 1235412 1243038 1623969 1637172 1864557 2165292 2455758 2486076 3247938 3729114 4911516 5593671 6495876 7458228 11187342 16781013 22374684 33562026 50343039 67124052 100686078 201372156