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23153533000 = 2353131993739
BaseRepresentation
bin10101100100000011…
…101110000001001000
32012202121110100021021
4111210003232001020
5334404301024000
614345300322224
71446523532443
oct254403560110
965677410237
1023153533000
119901625044
1245a20a3374
13224cb271b0
14119905665a
15907a3b11a
hex5640ee048

23153533000 has 128 divisors (see below), whose sum is σ = 61418448000. Its totient is φ = 8098963200.

The previous prime is 23153532971. The next prime is 23153533003. The reversal of 23153533000 is 33535132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (23153533003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200131 + ... + 293869.

It is an arithmetic number, because the mean of its divisors is an integer number (479831625).

Almost surely, 223153533000 is an apocalyptic number.

23153533000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23153533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709224000).

23153533000 is an abundant number, since it is smaller than the sum of its proper divisors (38264915000).

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

23153533000 is a wasteful number, since it uses less digits than its factorization.

23153533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93792 (or 93778 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The spelling of 23153533000 in words is "twenty-three billion, one hundred fifty-three million, five hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4750 4940 6175 6500 9500 9880 12350 13000 19000 24700 30875 49400 61750 93739 123500 187478 247000 374956 468695 749912 937390 1218607 1781041 1874780 2343475 2437214 3562082 3749560 4686950 4874428 6093035 7124164 8905205 9373900 9748856 11717375 12186070 14248328 17810410 18747800 23153533 23434750 24372140 30465175 35620820 44526025 46307066 46869500 48744280 60930350 71241640 89052050 92614132 93739000 115767665 121860700 152325875 178104100 185228264 222630125 231535330 243721400 304651750 356208200 445260250 463070660 578838325 609303500 890520500 926141320 1157676650 1218607000 1781041000 2315353300 2894191625 4630706600 5788383250 11576766500 23153533000