Search a number
-
+
23044511000 = 2353719173267
BaseRepresentation
bin10101011101100011…
…110101010100011000
32012111000022110012102
4111131203311110120
5334143343323000
614330403502532
71444031053160
oct253543652430
965430273172
1023044511000
119856031215
124571687a48
132233375034
1411887975a0
158ed1a33d5
hex55d8f5518

23044511000 has 128 divisors (see below), whose sum is σ = 64871539200. Its totient is φ = 7485091200.

The previous prime is 23044510991. The next prime is 23044511059. The reversal of 23044511000 is 11544032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46367 + ... + 219633.

It is an arithmetic number, because the mean of its divisors is an integer number (506808900).

Almost surely, 223044511000 is an apocalyptic number.

23044511000 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 23044511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32435769600).

23044511000 is an abundant number, since it is smaller than the sum of its proper divisors (41827028200).

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

23044511000 is a wasteful number, since it uses less digits than its factorization.

23044511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173314 (or 173300 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 23044511000 in words is "twenty-three billion, forty-four million, five hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 133000 173267 346534 693068 866335 1212869 1386136 1732670 2425738 3292073 3465340 4331675 4851476 6064345 6584146 6930680 8663350 9702952 12128690 13168292 16460365 17326700 21658375 23044511 24257380 26336584 30321725 32920730 34653400 43316750 46089022 48514760 60643450 65841460 82301825 86633500 92178044 115222555 121286900 131682920 151608625 164603650 173267000 184356088 230445110 242573800 303217250 329207300 411509125 460890220 576112775 606434500 658414600 823018250 921780440 1152225550 1212869000 1646036500 2304451100 2880563875 3292073000 4608902200 5761127750 11522255500 23044511000