Search a number
-
+
22553314000 = 245376532467
BaseRepresentation
bin10101000000010010…
…000100001011010000
32011012210001001120221
4111000102010023100
5332142122022000
614205535442424
71425615002020
oct250022041320
964183031527
1022553314000
119623837688
124455086414
132185682a19
14113d453a80
158beec861a
hex5404842d0

22553314000 has 160 divisors (see below), whose sum is σ = 62445217536. Its totient is φ = 7717593600.

The previous prime is 22553313983. The next prime is 22553314057. The reversal of 22553314000 is 41335522.

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

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, 9140767 + ... + 9143233.

Almost surely, 222553314000 is an apocalyptic number.

22553314000 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 22553314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222608768).

22553314000 is an abundant number, since it is smaller than the sum of its proper divisors (39891903536).

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

22553314000 is a wasteful number, since it uses less digits than its factorization.

22553314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 22553314000 its reverse (41335522), we get a palindrome (22594649522).

The spelling of 22553314000 in words is "twenty-two billion, five hundred fifty-three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 653 700 875 1000 1306 1400 1750 2000 2467 2612 2800 3265 3500 4571 4934 5224 6530 7000 9142 9868 10448 12335 13060 14000 16325 17269 18284 19736 22855 24670 26120 32650 34538 36568 39472 45710 49340 52240 61675 65300 69076 73136 81625 86345 91420 98680 114275 123350 130600 138152 163250 172690 182840 197360 228550 246700 261200 276304 308375 326500 345380 365680 431725 457100 493400 571375 616750 653000 690760 863450 914200 986800 1142750 1233500 1306000 1381520 1610951 1726900 1828400 2158625 2285500 2467000 3221902 3453800 4317250 4571000 4934000 6443804 6907600 8054755 8634500 9142000 11276657 12887608 16109510 17269000 22553314 25775216 32219020 34538000 40273775 45106628 56383285 64438040 80547550 90213256 112766570 128876080 161095100 180426512 201368875 225533140 281916425 322190200 402737750 451066280 563832850 644380400 805475500 902132560 1127665700 1409582125 1610951000 2255331400 2819164250 3221902000 4510662800 5638328500 11276657000 22553314000