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10222230400 = 275223138889
BaseRepresentation
bin10011000010100101…
…01101101110000000
3222101101221002220221
421201102231232000
5131413342333100
64410201512424
7511213344664
oct114122555600
928341832827
1010222230400
114376200aa8
121b934a2714
13c6ba59155
146cd8908a4
153ec65901a
hex2614adb80

10222230400 has 96 divisors (see below), whose sum is σ = 26350210800. Its totient is φ = 3911086080.

The previous prime is 10222230371. The next prime is 10222230409. The reversal of 10222230400 is 403222201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222230409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156 + ... + 143044.

Almost surely, 210222230400 is an apocalyptic number.

10222230400 is a gapful number since it is divisible by the number (10) 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 10222230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175105400).

10222230400 is an abundant number, since it is smaller than the sum of its proper divisors (16127980400).

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

10222230400 is a wasteful number, since it uses less digits than its factorization.

10222230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138936 (or 138919 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10222230400 its reverse (403222201), we get a palindrome (10625452601).

The spelling of 10222230400 in words is "ten billion, two hundred twenty-two million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 320 368 400 460 575 640 736 800 920 1150 1472 1600 1840 2300 2944 3200 3680 4600 7360 9200 14720 18400 36800 73600 138889 277778 555556 694445 1111112 1388890 2222224 2777780 3194447 3472225 4444448 5555560 6388894 6944450 8888896 11111120 12777788 13888900 15972235 17777792 22222240 25555576 27777800 31944470 44444480 51111152 55555600 63888940 79861175 88888960 102222304 111111200 127777880 159722350 204444608 222222400 255555760 319444700 408889216 444444800 511111520 638889400 1022223040 1277778800 2044446080 2555557600 5111115200 10222230400