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245200033420 = 225411013295187
BaseRepresentation
bin1110010001011100001…
…1111001011010001100
3212102220102010021211021
43210113003321122030
513004132202032140
6304350543403524
723500166616046
oct3442703713214
9772812107737
10245200033420
1194a97032321
123b630bb35a4
131a1787c9894
14bc21140a96
1565a1726b4a
hex39170f968c

245200033420 has 48 divisors (see below), whose sum is σ = 528001594848. Its totient is φ = 95593034240.

The previous prime is 245200033399. The next prime is 245200033427. The reversal of 245200033420 is 24330002542.

245200033420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (245200033427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683067 + ... + 978253.

It is an arithmetic number, because the mean of its divisors is an integer number (11000033226).

Almost surely, 2245200033420 is an apocalyptic number.

245200033420 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 245200033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264000797424).

245200033420 is an abundant number, since it is smaller than the sum of its proper divisors (282801561428).

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

245200033420 is a wasteful number, since it uses less digits than its factorization.

245200033420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296250 (or 296248 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 245200033420 its reverse (24330002542), we get a palindrome (269530035962).

The spelling of 245200033420 in words is "two hundred forty-five billion, two hundred million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1013 2026 4052 5065 10130 20260 41533 83066 166132 207665 295187 415330 590374 830660 1180748 1475935 2951870 5903740 12102667 24205334 48410668 60513335 121026670 242053340 299024431 598048862 1196097724 1495122155 2990244310 5980488620 12260001671 24520003342 49040006684 61300008355 122600016710 245200033420