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22328898070932 = 223219432521301141
BaseRepresentation
bin1010001001110110110100…
…00010011010100110010100
32221001121210022001111020100
411010323122002122212110
510411314040401232212
6115253430522134100
74463131624012065
oct504733202324624
987047708044210
1022328898070932
1171296a5936572
1226075a6951330
13c5c7b566405b
14572a1dbb656c
1528ac5c533bdc
hex144eda09a994

22328898070932 has 144 divisors (see below), whose sum is σ = 60819168329920. Its totient is φ = 6884494041600.

The previous prime is 22328898070903. The next prime is 22328898070933. The reversal of 22328898070932 is 23907089882322.

22328898070932 is a `hidden beast` number, since 2 + 2 + 328 + 89 + 80 + 70 + 93 + 2 = 666.

It is a super-3 number, since 3×223288980709323 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22328898070932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328898070933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73997082 + ... + 74298222.

Almost surely, 222328898070932 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 22328898070932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30409584164960).

22328898070932 is an abundant number, since it is smaller than the sum of its proper divisors (38490270258988).

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

22328898070932 is a wasteful number, since it uses less digits than its factorization.

22328898070932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303734 (or 303729 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 22328898070932 in words is "twenty-two trillion, three hundred twenty-eight billion, eight hundred ninety-eight million, seventy thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 342 387 516 684 774 817 1548 1634 2451 2521 3268 4902 5042 7353 7563 9804 10084 14706 15126 22689 29412 30252 45378 47899 90756 95798 108403 143697 191596 216806 287394 301141 325209 431091 433612 574788 602282 650418 862182 903423 975627 1204564 1300836 1724364 1806846 1951254 2059657 2710269 3613692 3902508 4119314 5420538 5721679 6178971 8238628 10841076 11443358 12357942 12949063 17165037 18536913 22886716 24715884 25898126 34330074 37073826 38847189 51495111 51796252 68660148 74147652 77694378 102990222 116541567 155388756 205980444 233083134 246032197 466166268 492064394 738096591 759176461 984128788 1476193182 1518352922 2214289773 2277529383 2952386364 3036705844 4428579546 4555058766 6832588149 8857159092 9110117532 13665176298 14424352759 27330352596 28848705518 32644587823 43273058277 57697411036 65289175646 86546116554 97933763469 129819174831 130578351292 173092233108 195867526938 259638349662 293801290407 391735053876 519276699324 587602580814 620247168637 1175205161628 1240494337274 1860741505911 2480988674548 3721483011822 5582224517733 7442966023644 11164449035466 22328898070932