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10223354000 = 245313073911
BaseRepresentation
bin10011000010101110…
…00000000010010000
3222101111001012012202
421201113000002100
5131414134312000
64410241542332
7511226034536
oct114127000220
928344035182
1010223354000
1143768a91a2
121b939449a8
13c6c0606c2
146cdaa4156
153ec7cbdd5
hex2615c0090

10223354000 has 80 divisors (see below), whose sum is σ = 24745309056. Its totient is φ = 4085168000.

The previous prime is 10223353993. The next prime is 10223354023. The reversal of 10223354000 is 45332201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2612045 + ... + 2615955.

Almost surely, 210223354000 is an apocalyptic number.

10223354000 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 10223354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372654528).

10223354000 is an abundant number, since it is smaller than the sum of its proper divisors (14521955056).

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

10223354000 is a wasteful number, since it uses less digits than its factorization.

10223354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10223354000 its reverse (45332201), we get a palindrome (10268686201).

The spelling of 10223354000 in words is "ten billion, two hundred twenty-three million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1307 2000 2614 3911 5228 6535 7822 10456 13070 15644 19555 20912 26140 31288 32675 39110 52280 62576 65350 78220 97775 104560 130700 156440 163375 195550 261400 312880 326750 391100 488875 522800 653500 782200 977750 1307000 1564400 1955500 2614000 3911000 5111677 7822000 10223354 20446708 25558385 40893416 51116770 81786832 102233540 127791925 204467080 255583850 408934160 511167700 638959625 1022335400 1277919250 2044670800 2555838500 5111677000 10223354000