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23067474400 = 2552197320789
BaseRepresentation
bin10101011110111011…
…011011100111100000
32012112121112010001201
4111132323123213200
5334220233140100
614332544010544
71444430203645
oct253673334740
965477463051
1023067474400
119867a95a33
124579300a54
132238055249
14118b853dcc
159001dc36a
hex55eedb9e0

23067474400 has 144 divisors (see below), whose sum is σ = 60092247600. Its totient is φ = 8621199360.

The previous prime is 23067474389. The next prime is 23067474487. The reversal of 23067474400 is 447476032.

It is a self number, because there is not a number n which added to its sum of digits gives 23067474400.

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, 1099206 + ... + 1119994.

It is an arithmetic number, because the mean of its divisors is an integer number (417307275).

Almost surely, 223067474400 is an apocalyptic number.

23067474400 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 23067474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046123800).

23067474400 is an abundant number, since it is smaller than the sum of its proper divisors (37024773200).

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

23067474400 is a wasteful number, since it uses less digits than its factorization.

23067474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20901 (or 20888 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The spelling of 23067474400 in words is "twenty-three billion, sixty-seven million, four hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 73 76 80 95 100 146 152 160 190 200 292 304 365 380 400 475 584 608 730 760 800 950 1168 1387 1460 1520 1825 1900 2336 2774 2920 3040 3650 3800 5548 5840 6935 7300 7600 11096 11680 13870 14600 15200 20789 22192 27740 29200 34675 41578 44384 55480 58400 69350 83156 103945 110960 138700 166312 207890 221920 277400 332624 394991 415780 519725 554800 665248 789982 831560 1039450 1109600 1517597 1579964 1663120 1974955 2078900 3035194 3159928 3326240 3949910 4157800 6070388 6319856 7587985 7899820 8315600 9874775 12140776 12639712 15175970 15799640 16631200 19749550 24281552 28834343 30351940 31599280 37939925 39499100 48563104 57668686 60703880 63198560 75879850 78998200 115337372 121407760 144171715 151759700 157996400 230674744 242815520 288343430 303519400 315992800 461349488 576686860 607038800 720858575 922698976 1153373720 1214077600 1441717150 2306747440 2883434300 4613494880 5766868600 11533737200 23067474400