Search a number
-
+
157282225828 = 2271331137101741
BaseRepresentation
bin1001001001111011000…
…0000100111010100100
3120000222021020220201021
42102132300010322210
510034103222211303
6200130543540524
714235412601230
oct2223660047244
9500867226637
10157282225828
1160780797202
12265955ba744
1311aa719bc20
1478809b55c0
154158095ebd
hex249ec04ea4

157282225828 has 96 divisors (see below), whose sum is σ = 352245454848. Its totient is φ = 59774284800.

The previous prime is 157282225823. The next prime is 157282225871. The reversal of 157282225828 is 828522282751.

It is a super-2 number, since 2×1572822258282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (157282225823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495038 + ... + 1596778.

It is an arithmetic number, because the mean of its divisors is an integer number (3669223488).

Almost surely, 2157282225828 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 157282225828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176122727424).

157282225828 is an abundant number, since it is smaller than the sum of its proper divisors (194963229020).

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

157282225828 is a wasteful number, since it uses less digits than its factorization.

157282225828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101933 (or 101931 counting only the distinct ones).

The product of its digits is 2867200, while the sum is 52.

The spelling of 157282225828 in words is "one hundred fifty-seven billion, two hundred eighty-two million, two hundred twenty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 137 182 217 274 364 403 434 548 806 868 959 1612 1781 1918 2821 3562 3836 4247 5642 7124 8494 11284 12467 16988 24934 29729 49868 55211 59458 101741 110422 118916 203482 220844 386477 406964 712187 772954 1322633 1424374 1545908 2645266 2848748 3153971 5290532 6307942 9258431 12615884 13938517 18516862 22077797 27877034 37033724 41001623 44155594 55754068 82003246 88311188 97569619 164006492 181200721 195139238 287011361 362401442 390278476 432094027 574022722 724802884 864188054 1148045444 1268405047 1728376108 2536810094 3024658189 5073620188 5617222351 6049316378 11234444702 12098632756 22468889404 39320556457 78641112914 157282225828