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1225221400 = 2352133971187
BaseRepresentation
bin100100100000111…
…0110010100011000
310011101110200210101
41021001312110120
510002124041100
6321324425144
742235132024
oct11101662430
93141420711
101225221400
11579672a77
122a23a81b4
13166ab53a0
14b8a17384
157286d86a
hex49076518

1225221400 has 96 divisors (see below), whose sum is σ = 3078084240. Its totient is φ = 450869760.

The previous prime is 1225221397. The next prime is 1225221443. The reversal of 1225221400 is 41225221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1031607 + ... + 1032793.

Almost surely, 21225221400 is an apocalyptic number.

1225221400 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 1225221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539042120).

1225221400 is an abundant number, since it is smaller than the sum of its proper divisors (1852862840).

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

1225221400 is a wasteful number, since it uses less digits than its factorization.

1225221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1225221400 is about 35003.1627142463. The cubic root of 1225221400 is about 1070.0519379686.

Adding to 1225221400 its reverse (41225221), we get a palindrome (1266446621).

The spelling of 1225221400 in words is "one billion, two hundred twenty-five million, two hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 397 520 650 794 1187 1300 1588 1985 2374 2600 3176 3970 4748 5161 5935 7940 9496 9925 10322 11870 15431 15880 19850 20644 23740 25805 29675 30862 39700 41288 47480 51610 59350 61724 77155 79400 103220 118700 123448 129025 154310 206440 237400 258050 308620 385775 471239 516100 617240 771550 942478 1032200 1543100 1884956 2356195 3086200 3769912 4712390 6126107 9424780 11780975 12252214 18849560 23561950 24504428 30630535 47123900 49008856 61261070 94247800 122522140 153152675 245044280 306305350 612610700 1225221400