Search a number
-
+
23799227040 = 2532544936809
BaseRepresentation
bin10110001010100010…
…110110001010100000
32021102121102222222100
4112022202312022200
5342220100231130
614533324010400
71501524043401
oct261242661240
967377388870
1023799227040
11a103052586
124742390a00
132323831284
14121aad59a8
15944582c60
hex58a8b62a0

23799227040 has 144 divisors (see below), whose sum is σ = 81397953000. Its totient is φ = 6332153856.

The previous prime is 23799227009. The next prime is 23799227099. The reversal of 23799227040 is 4072299732.

23799227040 is a `hidden beast` number, since 2 + 379 + 9 + 2 + 270 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18842503824 + 4956723216 = 137268^2 + 70404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 628156 + ... + 664964.

Almost surely, 223799227040 is an apocalyptic number.

23799227040 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 23799227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40698976500).

23799227040 is an abundant number, since it is smaller than the sum of its proper divisors (57598725960).

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

23799227040 is a wasteful number, since it uses less digits than its factorization.

23799227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37279 (or 37268 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 23799227040 in words is "twenty-three billion, seven hundred ninety-nine million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 449 480 720 898 1347 1440 1796 2245 2694 3592 4041 4490 5388 6735 7184 8082 8980 10776 13470 14368 16164 17960 20205 21552 26940 32328 35920 36809 40410 43104 53880 64656 71840 73618 80820 107760 110427 129312 147236 161640 184045 215520 220854 294472 323280 331281 368090 441708 552135 588944 646560 662562 736180 883416 1104270 1177888 1325124 1472360 1656405 1766832 2208540 2650248 2944720 3312810 3533664 4417080 5300496 5889440 6625620 8834160 10600992 13251240 16527241 17668320 26502480 33054482 49581723 53004960 66108964 82636205 99163446 132217928 148745169 165272410 198326892 247908615 264435856 297490338 330544820 396653784 495817230 528871712 594980676 661089640 743725845 793307568 991634460 1189961352 1322179280 1487451690 1586615136 1983268920 2379922704 2644358560 2974903380 3966537840 4759845408 5949806760 7933075680 11899613520 23799227040