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22155030400 = 275231223337
BaseRepresentation
bin10100101000100010…
…101110111110000000
32010012000121011012111
4110220202232332000
5330333141433100
614102231105104
71413010436236
oct245042567600
963160534174
1022155030400
119439a34288
124363812194
132120cc2759
1411025b8956
1589a0536ba
hex5288aef80

22155030400 has 96 divisors (see below), whose sum is σ = 56495580480. Its totient is φ = 8576102400.

The previous prime is 22155030397. The next prime is 22155030419. The reversal of 22155030400 is 403055122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12469 + ... + 210868.

It is an arithmetic number, because the mean of its divisors is an integer number (588495630).

Almost surely, 222155030400 is an apocalyptic number.

22155030400 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 22155030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28247790240).

22155030400 is an abundant number, since it is smaller than the sum of its proper divisors (34340550080).

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

22155030400 is a wasteful number, since it uses less digits than its factorization.

22155030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223392 (or 223375 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 22155030400 its reverse (403055122), we get a palindrome (22558085522).

The spelling of 22155030400 in words is "twenty-two billion, one hundred fifty-five million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 310 320 400 496 620 640 775 800 992 1240 1550 1600 1984 2480 3100 3200 3968 4960 6200 9920 12400 19840 24800 49600 99200 223337 446674 893348 1116685 1786696 2233370 3573392 4466740 5583425 6923447 7146784 8933480 11166850 13846894 14293568 17866960 22333700 27693788 28587136 34617235 35733920 44667400 55387576 69234470 71467840 89334800 110775152 138468940 142935680 173086175 178669600 221550304 276937880 346172350 357339200 443100608 553875760 692344700 714678400 886201216 1107751520 1384689400 2215503040 2769378800 4431006080 5538757600 11077515200 22155030400